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Finding the Fourth Proportional to 12,564.64, 17,339.60 and 7,259.36

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Solution

The fourth proportional to 12,564.64, 17,339.60 and 7,259.36 is: 10,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.64 : 17,339.60 = 7,259.36 : x
  2. Step 2: Convert to fraction form
    12,564.64/17,339.60 = 7,259.36/x
  3. Step 3: Cross multiply
    12,564.64x = 17,339.60 × 7,259.36
  4. Step 4: Simplify right side
    12,564.64x = 125,874,398.66
  5. Step 5: Solve for x
    x = 125,874,398.66/12,564.64
  6. Step 6: Final answer
    x = 10,018.15

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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.