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Finding the Fourth Proportional to 19,784.80, 29,677.20 and 19,400.80

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Solution

The fourth proportional to 19,784.80, 29,677.20 and 19,400.80 is: 29,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.80 : 29,677.20 = 19,400.80 : x
  2. Step 2: Convert to fraction form
    19,784.80/29,677.20 = 19,400.80/x
  3. Step 3: Cross multiply
    19,784.80x = 29,677.20 × 19,400.80
  4. Step 4: Simplify right side
    19,784.80x = 575,761,421.76
  5. Step 5: Solve for x
    x = 575,761,421.76/19,784.80
  6. Step 6: Final answer
    x = 29,101.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.