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Finding the Fourth Proportional to 23,129.84, 31,920.72 and 13,054.70

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Solution

The fourth proportional to 23,129.84, 31,920.72 and 13,054.70 is: 18,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.84 : 31,920.72 = 13,054.70 : x
  2. Step 2: Convert to fraction form
    23,129.84/31,920.72 = 13,054.70/x
  3. Step 3: Cross multiply
    23,129.84x = 31,920.72 × 13,054.70
  4. Step 4: Simplify right side
    23,129.84x = 416,715,423.38
  5. Step 5: Solve for x
    x = 416,715,423.38/23,129.84
  6. Step 6: Final answer
    x = 18,016.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.