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Finding the Fourth Proportional to 21,424.86, 29,551.38 and 15,064.74

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Solution

The fourth proportional to 21,424.86, 29,551.38 and 15,064.74 is: 20,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.86 : 29,551.38 = 15,064.74 : x
  2. Step 2: Convert to fraction form
    21,424.86/29,551.38 = 15,064.74/x
  3. Step 3: Cross multiply
    21,424.86x = 29,551.38 × 15,064.74
  4. Step 4: Simplify right side
    21,424.86x = 445,183,856.34
  5. Step 5: Solve for x
    x = 445,183,856.34/21,424.86
  6. Step 6: Final answer
    x = 20,778.85

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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.