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Finding the Fourth Proportional to 16,254.60, 24,377.04 and 6,894.42

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Solution

The fourth proportional to 16,254.60, 24,377.04 and 6,894.42 is: 10,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.60 : 24,377.04 = 6,894.42 : x
  2. Step 2: Convert to fraction form
    16,254.60/24,377.04 = 6,894.42/x
  3. Step 3: Cross multiply
    16,254.60x = 24,377.04 × 6,894.42
  4. Step 4: Simplify right side
    16,254.60x = 168,065,552.12
  5. Step 5: Solve for x
    x = 168,065,552.12/16,254.60
  6. Step 6: Final answer
    x = 10,339.57

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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.