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Finding the Fourth Proportional to 26,509.17, 39,781.99 and 9,882.51

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Solution

The fourth proportional to 26,509.17, 39,781.99 and 9,882.51 is: 14,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.17 : 39,781.99 = 9,882.51 : x
  2. Step 2: Convert to fraction form
    26,509.17/39,781.99 = 9,882.51/x
  3. Step 3: Cross multiply
    26,509.17x = 39,781.99 × 9,882.51
  4. Step 4: Simplify right side
    26,509.17x = 393,145,721.58
  5. Step 5: Solve for x
    x = 393,145,721.58/26,509.17
  6. Step 6: Final answer
    x = 14,830.55

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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.