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Finding the Fourth Proportional to 23,209.60, 32,029.12 and 12,599.16

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Solution

The fourth proportional to 23,209.60, 32,029.12 and 12,599.16 is: 17,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.60 : 32,029.12 = 12,599.16 : x
  2. Step 2: Convert to fraction form
    23,209.60/32,029.12 = 12,599.16/x
  3. Step 3: Cross multiply
    23,209.60x = 32,029.12 × 12,599.16
  4. Step 4: Simplify right side
    23,209.60x = 403,540,007.54
  5. Step 5: Solve for x
    x = 403,540,007.54/23,209.60
  6. Step 6: Final answer
    x = 17,386.77

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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.