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Finding the Fourth Proportional to 16,592.32, 22,897.40 and 9,140.32

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Solution

The fourth proportional to 16,592.32, 22,897.40 and 9,140.32 is: 12,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592.32 : 22,897.40 = 9,140.32 : x
  2. Step 2: Convert to fraction form
    16,592.32/22,897.40 = 9,140.32/x
  3. Step 3: Cross multiply
    16,592.32x = 22,897.40 × 9,140.32
  4. Step 4: Simplify right side
    16,592.32x = 209,289,402.98
  5. Step 5: Solve for x
    x = 209,289,402.98/16,592.32
  6. Step 6: Final answer
    x = 12,613.63

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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.