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Finding the Fourth Proportional to 16,543.35, 24,823.53 and 9,146.43

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Solution

The fourth proportional to 16,543.35, 24,823.53 and 9,146.43 is: 13,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.35 : 24,823.53 = 9,146.43 : x
  2. Step 2: Convert to fraction form
    16,543.35/24,823.53 = 9,146.43/x
  3. Step 3: Cross multiply
    16,543.35x = 24,823.53 × 9,146.43
  4. Step 4: Simplify right side
    16,543.35x = 227,046,679.50
  5. Step 5: Solve for x
    x = 227,046,679.50/16,543.35
  6. Step 6: Final answer
    x = 13,724.35

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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.