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Finding the Fourth Proportional to 22,897.29, 31,601.49 and 16,544.46

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Solution

The fourth proportional to 22,897.29, 31,601.49 and 16,544.46 is: 22,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.29 : 31,601.49 = 16,544.46 : x
  2. Step 2: Convert to fraction form
    22,897.29/31,601.49 = 16,544.46/x
  3. Step 3: Cross multiply
    22,897.29x = 31,601.49 × 16,544.46
  4. Step 4: Simplify right side
    22,897.29x = 522,829,587.25
  5. Step 5: Solve for x
    x = 522,829,587.25/22,897.29
  6. Step 6: Final answer
    x = 22,833.69

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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.