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Finding the Fourth Proportional to 23,005.70, 31,748.99 and 12,937.31

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Solution

The fourth proportional to 23,005.70, 31,748.99 and 12,937.31 is: 17,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.70 : 31,748.99 = 12,937.31 : x
  2. Step 2: Convert to fraction form
    23,005.70/31,748.99 = 12,937.31/x
  3. Step 3: Cross multiply
    23,005.70x = 31,748.99 × 12,937.31
  4. Step 4: Simplify right side
    23,005.70x = 410,746,302.39
  5. Step 5: Solve for x
    x = 410,746,302.39/23,005.70
  6. Step 6: Final answer
    x = 17,854.11

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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.