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Finding the Fourth Proportional to 16,360, 24,534.88 and 5,968.96

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Solution

The fourth proportional to 16,360, 24,534.88 and 5,968.96 is: 8,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,360 : 24,534.88 = 5,968.96 : x
  2. Step 2: Convert to fraction form
    16,360/24,534.88 = 5,968.96/x
  3. Step 3: Cross multiply
    16,360x = 24,534.88 × 5,968.96
  4. Step 4: Simplify right side
    16,360x = 146,447,717.32
  5. Step 5: Solve for x
    x = 146,447,717.32/16,360
  6. Step 6: Final answer
    x = 8,951.57

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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.