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Finding the Fourth Proportional to 12,660.32, 17,448.04 and 8,403.86

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Solution

The fourth proportional to 12,660.32, 17,448.04 and 8,403.86 is: 11,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660.32 : 17,448.04 = 8,403.86 : x
  2. Step 2: Convert to fraction form
    12,660.32/17,448.04 = 8,403.86/x
  3. Step 3: Cross multiply
    12,660.32x = 17,448.04 × 8,403.86
  4. Step 4: Simplify right side
    12,660.32x = 146,630,885.43
  5. Step 5: Solve for x
    x = 146,630,885.43/12,660.32
  6. Step 6: Final answer
    x = 11,581.93

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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.