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Finding the Fourth Proportional to 12,587.52, 17,384.64 and 8,601.60

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Solution

The fourth proportional to 12,587.52, 17,384.64 and 8,601.60 is: 11,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.52 : 17,384.64 = 8,601.60 : x
  2. Step 2: Convert to fraction form
    12,587.52/17,384.64 = 8,601.60/x
  3. Step 3: Cross multiply
    12,587.52x = 17,384.64 × 8,601.60
  4. Step 4: Simplify right side
    12,587.52x = 149,535,719.42
  5. Step 5: Solve for x
    x = 149,535,719.42/12,587.52
  6. Step 6: Final answer
    x = 11,879.68

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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.