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Finding the Fourth Proportional to 12,538.64, 17,291.40 and 9,549.20

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Solution

The fourth proportional to 12,538.64, 17,291.40 and 9,549.20 is: 13,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.64 : 17,291.40 = 9,549.20 : x
  2. Step 2: Convert to fraction form
    12,538.64/17,291.40 = 9,549.20/x
  3. Step 3: Cross multiply
    12,538.64x = 17,291.40 × 9,549.20
  4. Step 4: Simplify right side
    12,538.64x = 165,119,036.88
  5. Step 5: Solve for x
    x = 165,119,036.88/12,538.64
  6. Step 6: Final answer
    x = 13,168.82

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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.