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Finding the Fourth Proportional to 24,650, 36,983.64 and 10,800.08

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Solution

The fourth proportional to 24,650, 36,983.64 and 10,800.08 is: 16,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650 : 36,983.64 = 10,800.08 : x
  2. Step 2: Convert to fraction form
    24,650/36,983.64 = 10,800.08/x
  3. Step 3: Cross multiply
    24,650x = 36,983.64 × 10,800.08
  4. Step 4: Simplify right side
    24,650x = 399,426,270.69
  5. Step 5: Solve for x
    x = 399,426,270.69/24,650
  6. Step 6: Final answer
    x = 16,203.91

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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.