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Finding the Fourth Proportional to 12,566.69, 17,345.31 and 7,534.16

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Solution

The fourth proportional to 12,566.69, 17,345.31 and 7,534.16 is: 10,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.69 : 17,345.31 = 7,534.16 : x
  2. Step 2: Convert to fraction form
    12,566.69/17,345.31 = 7,534.16/x
  3. Step 3: Cross multiply
    12,566.69x = 17,345.31 × 7,534.16
  4. Step 4: Simplify right side
    12,566.69x = 130,682,340.79
  5. Step 5: Solve for x
    x = 130,682,340.79/12,566.69
  6. Step 6: Final answer
    x = 10,399.11

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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.