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Finding the Fourth Proportional to 12,566.19, 17,344.62 and 7,533.66

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Solution

The fourth proportional to 12,566.19, 17,344.62 and 7,533.66 is: 10,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.19 : 17,344.62 = 7,533.66 : x
  2. Step 2: Convert to fraction form
    12,566.19/17,344.62 = 7,533.66/x
  3. Step 3: Cross multiply
    12,566.19x = 17,344.62 × 7,533.66
  4. Step 4: Simplify right side
    12,566.19x = 130,668,469.91
  5. Step 5: Solve for x
    x = 130,668,469.91/12,566.19
  6. Step 6: Final answer
    x = 10,398.42

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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.