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Finding the Fourth Proportional to 14,516.91, 20,032.33 and 8,547.31

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Solution

The fourth proportional to 14,516.91, 20,032.33 and 8,547.31 is: 11,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.91 : 20,032.33 = 8,547.31 : x
  2. Step 2: Convert to fraction form
    14,516.91/20,032.33 = 8,547.31/x
  3. Step 3: Cross multiply
    14,516.91x = 20,032.33 × 8,547.31
  4. Step 4: Simplify right side
    14,516.91x = 171,222,534.53
  5. Step 5: Solve for x
    x = 171,222,534.53/14,516.91
  6. Step 6: Final answer
    x = 11,794.70

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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.