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Finding the Fourth Proportional to 23,138.28, 31,930.98 and 12,528

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Solution

The fourth proportional to 23,138.28, 31,930.98 and 12,528 is: 17,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.28 : 31,930.98 = 12,528 : x
  2. Step 2: Convert to fraction form
    23,138.28/31,930.98 = 12,528/x
  3. Step 3: Cross multiply
    23,138.28x = 31,930.98 × 12,528
  4. Step 4: Simplify right side
    23,138.28x = 400,031,317.44
  5. Step 5: Solve for x
    x = 400,031,317.44/23,138.28
  6. Step 6: Final answer
    x = 17,288.72

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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.