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Finding the Fourth Proportional to 23,138.40, 31,930.80 and 12,528

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Solution

The fourth proportional to 23,138.40, 31,930.80 and 12,528 is: 17,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.40 : 31,930.80 = 12,528 : x
  2. Step 2: Convert to fraction form
    23,138.40/31,930.80 = 12,528/x
  3. Step 3: Cross multiply
    23,138.40x = 31,930.80 × 12,528
  4. Step 4: Simplify right side
    23,138.40x = 400,029,062.40
  5. Step 5: Solve for x
    x = 400,029,062.40/23,138.40
  6. Step 6: Final answer
    x = 17,288.54

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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.