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Finding the Fourth Proportional to 25,362.76, 38,044.18 and 6,894.76

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Solution

The fourth proportional to 25,362.76, 38,044.18 and 6,894.76 is: 10,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,362.76 : 38,044.18 = 6,894.76 : x
  2. Step 2: Convert to fraction form
    25,362.76/38,044.18 = 6,894.76/x
  3. Step 3: Cross multiply
    25,362.76x = 38,044.18 × 6,894.76
  4. Step 4: Simplify right side
    25,362.76x = 262,305,490.50
  5. Step 5: Solve for x
    x = 262,305,490.50/25,362.76
  6. Step 6: Final answer
    x = 10,342.15

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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.