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Finding the Fourth Proportional to 16,291.56, 24,432.22 and 5,345

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Solution

The fourth proportional to 16,291.56, 24,432.22 and 5,345 is: 8,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.56 : 24,432.22 = 5,345 : x
  2. Step 2: Convert to fraction form
    16,291.56/24,432.22 = 5,345/x
  3. Step 3: Cross multiply
    16,291.56x = 24,432.22 × 5,345
  4. Step 4: Simplify right side
    16,291.56x = 130,590,215.90
  5. Step 5: Solve for x
    x = 130,590,215.90/16,291.56
  6. Step 6: Final answer
    x = 8,015.82

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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.