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Finding the Fourth Proportional to 25,879.38, 35,711.58 and 14,547.08

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Solution

The fourth proportional to 25,879.38, 35,711.58 and 14,547.08 is: 20,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879.38 : 35,711.58 = 14,547.08 : x
  2. Step 2: Convert to fraction form
    25,879.38/35,711.58 = 14,547.08/x
  3. Step 3: Cross multiply
    25,879.38x = 35,711.58 × 14,547.08
  4. Step 4: Simplify right side
    25,879.38x = 519,499,211.19
  5. Step 5: Solve for x
    x = 519,499,211.19/25,879.38
  6. Step 6: Final answer
    x = 20,073.87

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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.