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Finding the Fourth Proportional to 13,234.71, 18,262.62 and 7,569.57

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Solution

The fourth proportional to 13,234.71, 18,262.62 and 7,569.57 is: 10,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.71 : 18,262.62 = 7,569.57 : x
  2. Step 2: Convert to fraction form
    13,234.71/18,262.62 = 7,569.57/x
  3. Step 3: Cross multiply
    13,234.71x = 18,262.62 × 7,569.57
  4. Step 4: Simplify right side
    13,234.71x = 138,240,180.47
  5. Step 5: Solve for x
    x = 138,240,180.47/13,234.71
  6. Step 6: Final answer
    x = 10,445.27

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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.