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Finding the Fourth Proportional to 12,475.60, 18,714.30 and 7,534.60

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Solution

The fourth proportional to 12,475.60, 18,714.30 and 7,534.60 is: 11,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.60 : 18,714.30 = 7,534.60 : x
  2. Step 2: Convert to fraction form
    12,475.60/18,714.30 = 7,534.60/x
  3. Step 3: Cross multiply
    12,475.60x = 18,714.30 × 7,534.60
  4. Step 4: Simplify right side
    12,475.60x = 141,004,764.78
  5. Step 5: Solve for x
    x = 141,004,764.78/12,475.60
  6. Step 6: Final answer
    x = 11,302.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.