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Finding the Fourth Proportional to 25,733.15, 38,572.96 and 9,949.02

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Solution

The fourth proportional to 25,733.15, 38,572.96 and 9,949.02 is: 14,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,733.15 : 38,572.96 = 9,949.02 : x
  2. Step 2: Convert to fraction form
    25,733.15/38,572.96 = 9,949.02/x
  3. Step 3: Cross multiply
    25,733.15x = 38,572.96 × 9,949.02
  4. Step 4: Simplify right side
    25,733.15x = 383,763,162.94
  5. Step 5: Solve for x
    x = 383,763,162.94/25,733.15
  6. Step 6: Final answer
    x = 14,913.18

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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.