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Finding the Fourth Proportional to 12,575.64, 17,349.42 and 8,102.00

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Solution

The fourth proportional to 12,575.64, 17,349.42 and 8,102.00 is: 11,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.64 : 17,349.42 = 8,102.00 : x
  2. Step 2: Convert to fraction form
    12,575.64/17,349.42 = 8,102.00/x
  3. Step 3: Cross multiply
    12,575.64x = 17,349.42 × 8,102.00
  4. Step 4: Simplify right side
    12,575.64x = 140,565,030.63
  5. Step 5: Solve for x
    x = 140,565,030.63/12,575.64
  6. Step 6: Final answer
    x = 11,177.56

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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.