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Finding the Fourth Proportional to 16,390, 24,595.16 and 6,002.64

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Solution

The fourth proportional to 16,390, 24,595.16 and 6,002.64 is: 9,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390 : 24,595.16 = 6,002.64 : x
  2. Step 2: Convert to fraction form
    16,390/24,595.16 = 6,002.64/x
  3. Step 3: Cross multiply
    16,390x = 24,595.16 × 6,002.64
  4. Step 4: Simplify right side
    16,390x = 147,635,891.22
  5. Step 5: Solve for x
    x = 147,635,891.22/16,390
  6. Step 6: Final answer
    x = 9,007.68

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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.