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Finding the Fourth Proportional to 17,291.66, 23,862.20 and 9,737.96

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Solution

The fourth proportional to 17,291.66, 23,862.20 and 9,737.96 is: 13,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.66 : 23,862.20 = 9,737.96 : x
  2. Step 2: Convert to fraction form
    17,291.66/23,862.20 = 9,737.96/x
  3. Step 3: Cross multiply
    17,291.66x = 23,862.20 × 9,737.96
  4. Step 4: Simplify right side
    17,291.66x = 232,368,981.11
  5. Step 5: Solve for x
    x = 232,368,981.11/17,291.66
  6. Step 6: Final answer
    x = 13,438.22

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Why These Related Problems?

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