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Finding the Fourth Proportional to 13,547.54, 18,687.78 and 8,166.31

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Solution

The fourth proportional to 13,547.54, 18,687.78 and 8,166.31 is: 11,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.54 : 18,687.78 = 8,166.31 : x
  2. Step 2: Convert to fraction form
    13,547.54/18,687.78 = 8,166.31/x
  3. Step 3: Cross multiply
    13,547.54x = 18,687.78 × 8,166.31
  4. Step 4: Simplify right side
    13,547.54x = 152,610,204.69
  5. Step 5: Solve for x
    x = 152,610,204.69/13,547.54
  6. Step 6: Final answer
    x = 11,264.79

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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.