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Finding the Fourth Proportional to 23,138.64, 31,931.32 and 12,528.28

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Solution

The fourth proportional to 23,138.64, 31,931.32 and 12,528.28 is: 17,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.64 : 31,931.32 = 12,528.28 : x
  2. Step 2: Convert to fraction form
    23,138.64/31,931.32 = 12,528.28/x
  3. Step 3: Cross multiply
    23,138.64x = 31,931.32 × 12,528.28
  4. Step 4: Simplify right side
    23,138.64x = 400,044,517.73
  5. Step 5: Solve for x
    x = 400,044,517.73/23,138.64
  6. Step 6: Final answer
    x = 17,289.02

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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.