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Finding the Fourth Proportional to 16,561.74, 22,854.51 and 9,488.82

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Solution

The fourth proportional to 16,561.74, 22,854.51 and 9,488.82 is: 13,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.74 : 22,854.51 = 9,488.82 : x
  2. Step 2: Convert to fraction form
    16,561.74/22,854.51 = 9,488.82/x
  3. Step 3: Cross multiply
    16,561.74x = 22,854.51 × 9,488.82
  4. Step 4: Simplify right side
    16,561.74x = 216,862,331.58
  5. Step 5: Solve for x
    x = 216,862,331.58/16,561.74
  6. Step 6: Final answer
    x = 13,094.18

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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.