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Finding the Fourth Proportional to 15,829.80, 23,744.70 and 9,924.90

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Solution

The fourth proportional to 15,829.80, 23,744.70 and 9,924.90 is: 14,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.80 : 23,744.70 = 9,924.90 : x
  2. Step 2: Convert to fraction form
    15,829.80/23,744.70 = 9,924.90/x
  3. Step 3: Cross multiply
    15,829.80x = 23,744.70 × 9,924.90
  4. Step 4: Simplify right side
    15,829.80x = 235,663,773.03
  5. Step 5: Solve for x
    x = 235,663,773.03/15,829.80
  6. Step 6: Final answer
    x = 14,887.35

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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.