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Finding the Fourth Proportional to 16,404.48, 24,592 and 6,008.96

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Solution

The fourth proportional to 16,404.48, 24,592 and 6,008.96 is: 9,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.48 : 24,592 = 6,008.96 : x
  2. Step 2: Convert to fraction form
    16,404.48/24,592 = 6,008.96/x
  3. Step 3: Cross multiply
    16,404.48x = 24,592 × 6,008.96
  4. Step 4: Simplify right side
    16,404.48x = 147,772,344.32
  5. Step 5: Solve for x
    x = 147,772,344.32/16,404.48
  6. Step 6: Final answer
    x = 9,008.05

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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.