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Finding the Fourth Proportional to 24,655.16, 36,983.23 and 8,015.15

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Solution

The fourth proportional to 24,655.16, 36,983.23 and 8,015.15 is: 12,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,655.16 : 36,983.23 = 8,015.15 : x
  2. Step 2: Convert to fraction form
    24,655.16/36,983.23 = 8,015.15/x
  3. Step 3: Cross multiply
    24,655.16x = 36,983.23 × 8,015.15
  4. Step 4: Simplify right side
    24,655.16x = 296,426,253.44
  5. Step 5: Solve for x
    x = 296,426,253.44/24,655.16
  6. Step 6: Final answer
    x = 12,022.89

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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.