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Finding the Fourth Proportional to 16,233.63, 22,402.40 and 9,159.90

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Solution

The fourth proportional to 16,233.63, 22,402.40 and 9,159.90 is: 12,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.63 : 22,402.40 = 9,159.90 : x
  2. Step 2: Convert to fraction form
    16,233.63/22,402.40 = 9,159.90/x
  3. Step 3: Cross multiply
    16,233.63x = 22,402.40 × 9,159.90
  4. Step 4: Simplify right side
    16,233.63x = 205,203,743.76
  5. Step 5: Solve for x
    x = 205,203,743.76/16,233.63
  6. Step 6: Final answer
    x = 12,640.66

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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.