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Finding the Fourth Proportional to 24,116, 36,165.12 and 8,316.80

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Solution

The fourth proportional to 24,116, 36,165.12 and 8,316.80 is: 12,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116 : 36,165.12 = 8,316.80 : x
  2. Step 2: Convert to fraction form
    24,116/36,165.12 = 8,316.80/x
  3. Step 3: Cross multiply
    24,116x = 36,165.12 × 8,316.80
  4. Step 4: Simplify right side
    24,116x = 300,778,070.02
  5. Step 5: Solve for x
    x = 300,778,070.02/24,116
  6. Step 6: Final answer
    x = 12,472.14

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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.