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Finding the Fourth Proportional to 23,138.88, 31,930.56 and 13,705.92

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Solution

The fourth proportional to 23,138.88, 31,930.56 and 13,705.92 is: 18,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.88 : 31,930.56 = 13,705.92 : x
  2. Step 2: Convert to fraction form
    23,138.88/31,930.56 = 13,705.92/x
  3. Step 3: Cross multiply
    23,138.88x = 31,930.56 × 13,705.92
  4. Step 4: Simplify right side
    23,138.88x = 437,637,700.92
  5. Step 5: Solve for x
    x = 437,637,700.92/23,138.88
  6. Step 6: Final answer
    x = 18,913.52

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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.