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Finding the Fourth Proportional to 24,655, 36,997.08 and 10,614.64

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Solution

The fourth proportional to 24,655, 36,997.08 and 10,614.64 is: 15,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,655 : 36,997.08 = 10,614.64 : x
  2. Step 2: Convert to fraction form
    24,655/36,997.08 = 10,614.64/x
  3. Step 3: Cross multiply
    24,655x = 36,997.08 × 10,614.64
  4. Step 4: Simplify right side
    24,655x = 392,710,685.25
  5. Step 5: Solve for x
    x = 392,710,685.25/24,655
  6. Step 6: Final answer
    x = 15,928.24

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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.