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Finding the Fourth Proportional to 16,342.34, 22,552.02 and 9,537.66

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Solution

The fourth proportional to 16,342.34, 22,552.02 and 9,537.66 is: 13,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.34 : 22,552.02 = 9,537.66 : x
  2. Step 2: Convert to fraction form
    16,342.34/22,552.02 = 9,537.66/x
  3. Step 3: Cross multiply
    16,342.34x = 22,552.02 × 9,537.66
  4. Step 4: Simplify right side
    16,342.34x = 215,093,499.07
  5. Step 5: Solve for x
    x = 215,093,499.07/16,342.34
  6. Step 6: Final answer
    x = 13,161.74

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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.