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Finding the Fourth Proportional to 23,116.38, 31,901.75 and 14,164.38

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Solution

The fourth proportional to 23,116.38, 31,901.75 and 14,164.38 is: 19,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.38 : 31,901.75 = 14,164.38 : x
  2. Step 2: Convert to fraction form
    23,116.38/31,901.75 = 14,164.38/x
  3. Step 3: Cross multiply
    23,116.38x = 31,901.75 × 14,164.38
  4. Step 4: Simplify right side
    23,116.38x = 451,868,509.67
  5. Step 5: Solve for x
    x = 451,868,509.67/23,116.38
  6. Step 6: Final answer
    x = 19,547.55

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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.