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Finding the Fourth Proportional to 24,509.11, 36,752.66 and 6,974.77

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Solution

The fourth proportional to 24,509.11, 36,752.66 and 6,974.77 is: 10,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.11 : 36,752.66 = 6,974.77 : x
  2. Step 2: Convert to fraction form
    24,509.11/36,752.66 = 6,974.77/x
  3. Step 3: Cross multiply
    24,509.11x = 36,752.66 × 6,974.77
  4. Step 4: Simplify right side
    24,509.11x = 256,341,131.75
  5. Step 5: Solve for x
    x = 256,341,131.75/24,509.11
  6. Step 6: Final answer
    x = 10,459.02

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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.