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Finding the Fourth Proportional to 12,011.60, 16,565.64 and 9,652.88

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Solution

The fourth proportional to 12,011.60, 16,565.64 and 9,652.88 is: 13,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.60 : 16,565.64 = 9,652.88 : x
  2. Step 2: Convert to fraction form
    12,011.60/16,565.64 = 9,652.88/x
  3. Step 3: Cross multiply
    12,011.60x = 16,565.64 × 9,652.88
  4. Step 4: Simplify right side
    12,011.60x = 159,906,135.04
  5. Step 5: Solve for x
    x = 159,906,135.04/12,011.60
  6. Step 6: Final answer
    x = 13,312.64

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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.