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Finding the Fourth Proportional to 16,503.30, 24,734.07 and 9,569.70

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Solution

The fourth proportional to 16,503.30, 24,734.07 and 9,569.70 is: 14,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.30 : 24,734.07 = 9,569.70 : x
  2. Step 2: Convert to fraction form
    16,503.30/24,734.07 = 9,569.70/x
  3. Step 3: Cross multiply
    16,503.30x = 24,734.07 × 9,569.70
  4. Step 4: Simplify right side
    16,503.30x = 236,697,629.68
  5. Step 5: Solve for x
    x = 236,697,629.68/16,503.30
  6. Step 6: Final answer
    x = 14,342.44

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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.