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Finding the Fourth Proportional to 16,386.74, 22,613.72 and 9,314.52

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Solution

The fourth proportional to 16,386.74, 22,613.72 and 9,314.52 is: 12,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.74 : 22,613.72 = 9,314.52 : x
  2. Step 2: Convert to fraction form
    16,386.74/22,613.72 = 9,314.52/x
  3. Step 3: Cross multiply
    16,386.74x = 22,613.72 × 9,314.52
  4. Step 4: Simplify right side
    16,386.74x = 210,635,947.21
  5. Step 5: Solve for x
    x = 210,635,947.21/16,386.74
  6. Step 6: Final answer
    x = 12,854.05

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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.