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Finding the Fourth Proportional to 25,580.68, 38,370.75 and 9,998.17

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Solution

The fourth proportional to 25,580.68, 38,370.75 and 9,998.17 is: 14,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580.68 : 38,370.75 = 9,998.17 : x
  2. Step 2: Convert to fraction form
    25,580.68/38,370.75 = 9,998.17/x
  3. Step 3: Cross multiply
    25,580.68x = 38,370.75 × 9,998.17
  4. Step 4: Simplify right side
    25,580.68x = 383,637,281.53
  5. Step 5: Solve for x
    x = 383,637,281.53/25,580.68
  6. Step 6: Final answer
    x = 14,997.15

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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.