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Finding the Fourth Proportional to 27,737.96, 38,267.50 and 17,109.08

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Solution

The fourth proportional to 27,737.96, 38,267.50 and 17,109.08 is: 23,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.96 : 38,267.50 = 17,109.08 : x
  2. Step 2: Convert to fraction form
    27,737.96/38,267.50 = 17,109.08/x
  3. Step 3: Cross multiply
    27,737.96x = 38,267.50 × 17,109.08
  4. Step 4: Simplify right side
    27,737.96x = 654,721,718.90
  5. Step 5: Solve for x
    x = 654,721,718.90/27,737.96
  6. Step 6: Final answer
    x = 23,603.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.