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Finding the Fourth Proportional to 12,585.64, 17,448.91 and 11,885.80

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Solution

The fourth proportional to 12,585.64, 17,448.91 and 11,885.80 is: 16,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.64 : 17,448.91 = 11,885.80 : x
  2. Step 2: Convert to fraction form
    12,585.64/17,448.91 = 11,885.80/x
  3. Step 3: Cross multiply
    12,585.64x = 17,448.91 × 11,885.80
  4. Step 4: Simplify right side
    12,585.64x = 207,394,254.48
  5. Step 5: Solve for x
    x = 207,394,254.48/12,585.64
  6. Step 6: Final answer
    x = 16,478.64

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.