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Finding the Fourth Proportional to 19,897.20, 29,845.80 and 16,009.20

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Solution

The fourth proportional to 19,897.20, 29,845.80 and 16,009.20 is: 24,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.20 : 29,845.80 = 16,009.20 : x
  2. Step 2: Convert to fraction form
    19,897.20/29,845.80 = 16,009.20/x
  3. Step 3: Cross multiply
    19,897.20x = 29,845.80 × 16,009.20
  4. Step 4: Simplify right side
    19,897.20x = 477,807,381.36
  5. Step 5: Solve for x
    x = 477,807,381.36/19,897.20
  6. Step 6: Final answer
    x = 24,013.80

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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.