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Finding the Fourth Proportional to 16,302.60, 24,437.22 and 6,437.88

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Solution

The fourth proportional to 16,302.60, 24,437.22 and 6,437.88 is: 9,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.60 : 24,437.22 = 6,437.88 : x
  2. Step 2: Convert to fraction form
    16,302.60/24,437.22 = 6,437.88/x
  3. Step 3: Cross multiply
    16,302.60x = 24,437.22 × 6,437.88
  4. Step 4: Simplify right side
    16,302.60x = 157,323,889.89
  5. Step 5: Solve for x
    x = 157,323,889.89/16,302.60
  6. Step 6: Final answer
    x = 9,650.23

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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.