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Finding the Fourth Proportional to 16,300.60, 24,419.46 and 9,732.04

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Solution

The fourth proportional to 16,300.60, 24,419.46 and 9,732.04 is: 14,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.60 : 24,419.46 = 9,732.04 : x
  2. Step 2: Convert to fraction form
    16,300.60/24,419.46 = 9,732.04/x
  3. Step 3: Cross multiply
    16,300.60x = 24,419.46 × 9,732.04
  4. Step 4: Simplify right side
    16,300.60x = 237,651,161.50
  5. Step 5: Solve for x
    x = 237,651,161.50/16,300.60
  6. Step 6: Final answer
    x = 14,579.29

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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.