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Finding the Fourth Proportional to 25,246.50, 37,873.38 and 7,714.04

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Solution

The fourth proportional to 25,246.50, 37,873.38 and 7,714.04 is: 11,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,246.50 : 37,873.38 = 7,714.04 : x
  2. Step 2: Convert to fraction form
    25,246.50/37,873.38 = 7,714.04/x
  3. Step 3: Cross multiply
    25,246.50x = 37,873.38 × 7,714.04
  4. Step 4: Simplify right side
    25,246.50x = 292,156,768.26
  5. Step 5: Solve for x
    x = 292,156,768.26/25,246.50
  6. Step 6: Final answer
    x = 11,572.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.