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Finding the Fourth Proportional to 19,984.80, 29,984.40 and 19,264.80

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Solution

The fourth proportional to 19,984.80, 29,984.40 and 19,264.80 is: 28,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.80 : 29,984.40 = 19,264.80 : x
  2. Step 2: Convert to fraction form
    19,984.80/29,984.40 = 19,264.80/x
  3. Step 3: Cross multiply
    19,984.80x = 29,984.40 × 19,264.80
  4. Step 4: Simplify right side
    19,984.80x = 577,643,469.12
  5. Step 5: Solve for x
    x = 577,643,469.12/19,984.80
  6. Step 6: Final answer
    x = 28,904.14

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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.