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Finding the Fourth Proportional to 12,567.66, 17,343.59 and 7,264.18

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Solution

The fourth proportional to 12,567.66, 17,343.59 and 7,264.18 is: 10,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.66 : 17,343.59 = 7,264.18 : x
  2. Step 2: Convert to fraction form
    12,567.66/17,343.59 = 7,264.18/x
  3. Step 3: Cross multiply
    12,567.66x = 17,343.59 × 7,264.18
  4. Step 4: Simplify right side
    12,567.66x = 125,987,006.26
  5. Step 5: Solve for x
    x = 125,987,006.26/12,567.66
  6. Step 6: Final answer
    x = 10,024.70

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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.