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Finding the Fourth Proportional to 13,534.65, 18,678.14 and 7,566.71

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Solution

The fourth proportional to 13,534.65, 18,678.14 and 7,566.71 is: 10,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.65 : 18,678.14 = 7,566.71 : x
  2. Step 2: Convert to fraction form
    13,534.65/18,678.14 = 7,566.71/x
  3. Step 3: Cross multiply
    13,534.65x = 18,678.14 × 7,566.71
  4. Step 4: Simplify right side
    13,534.65x = 141,331,937.50
  5. Step 5: Solve for x
    x = 141,331,937.50/13,534.65
  6. Step 6: Final answer
    x = 10,442.23

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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.