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Finding the Fourth Proportional to 16,233.42, 22,402.10 and 9,159.84

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Solution

The fourth proportional to 16,233.42, 22,402.10 and 9,159.84 is: 12,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.42 : 22,402.10 = 9,159.84 : x
  2. Step 2: Convert to fraction form
    16,233.42/22,402.10 = 9,159.84/x
  3. Step 3: Cross multiply
    16,233.42x = 22,402.10 × 9,159.84
  4. Step 4: Simplify right side
    16,233.42x = 205,199,651.66
  5. Step 5: Solve for x
    x = 205,199,651.66/16,233.42
  6. Step 6: Final answer
    x = 12,640.57

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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.