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Finding the Fourth Proportional to 24,451.65, 36,677.16 and 7,811.46

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Solution

The fourth proportional to 24,451.65, 36,677.16 and 7,811.46 is: 11,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.65 : 36,677.16 = 7,811.46 : x
  2. Step 2: Convert to fraction form
    24,451.65/36,677.16 = 7,811.46/x
  3. Step 3: Cross multiply
    24,451.65x = 36,677.16 × 7,811.46
  4. Step 4: Simplify right side
    24,451.65x = 286,502,168.25
  5. Step 5: Solve for x
    x = 286,502,168.25/24,451.65
  6. Step 6: Final answer
    x = 11,717.09

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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.