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Finding the Fourth Proportional to 24,299.16, 36,456.84 and 8,718

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Solution

The fourth proportional to 24,299.16, 36,456.84 and 8,718 is: 13,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,299.16 : 36,456.84 = 8,718 : x
  2. Step 2: Convert to fraction form
    24,299.16/36,456.84 = 8,718/x
  3. Step 3: Cross multiply
    24,299.16x = 36,456.84 × 8,718
  4. Step 4: Simplify right side
    24,299.16x = 317,830,731.12
  5. Step 5: Solve for x
    x = 317,830,731.12/24,299.16
  6. Step 6: Final answer
    x = 13,079.91

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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.