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Finding the Fourth Proportional to 19,829.60, 29,744.40 and 13,209.20

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Solution

The fourth proportional to 19,829.60, 29,744.40 and 13,209.20 is: 19,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.60 : 29,744.40 = 13,209.20 : x
  2. Step 2: Convert to fraction form
    19,829.60/29,744.40 = 13,209.20/x
  3. Step 3: Cross multiply
    19,829.60x = 29,744.40 × 13,209.20
  4. Step 4: Simplify right side
    19,829.60x = 392,899,728.48
  5. Step 5: Solve for x
    x = 392,899,728.48/19,829.60
  6. Step 6: Final answer
    x = 19,813.80

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