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Finding the Fourth Proportional to 23,126.92, 31,907.70 and 14,165.08

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Solution

The fourth proportional to 23,126.92, 31,907.70 and 14,165.08 is: 19,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,126.92 : 31,907.70 = 14,165.08 : x
  2. Step 2: Convert to fraction form
    23,126.92/31,907.70 = 14,165.08/x
  3. Step 3: Cross multiply
    23,126.92x = 31,907.70 × 14,165.08
  4. Step 4: Simplify right side
    23,126.92x = 451,975,123.12
  5. Step 5: Solve for x
    x = 451,975,123.12/23,126.92
  6. Step 6: Final answer
    x = 19,543.25

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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.