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Finding the Fourth Proportional to 12,513.58, 17,261.22 and 8,264.68

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Solution

The fourth proportional to 12,513.58, 17,261.22 and 8,264.68 is: 11,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.58 : 17,261.22 = 8,264.68 : x
  2. Step 2: Convert to fraction form
    12,513.58/17,261.22 = 8,264.68/x
  3. Step 3: Cross multiply
    12,513.58x = 17,261.22 × 8,264.68
  4. Step 4: Simplify right side
    12,513.58x = 142,658,459.71
  5. Step 5: Solve for x
    x = 142,658,459.71/12,513.58
  6. Step 6: Final answer
    x = 11,400.29

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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.