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Finding the Fourth Proportional to 24,460.80, 36,673.27 and 7,811.24

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Solution

The fourth proportional to 24,460.80, 36,673.27 and 7,811.24 is: 11,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460.80 : 36,673.27 = 7,811.24 : x
  2. Step 2: Convert to fraction form
    24,460.80/36,673.27 = 7,811.24/x
  3. Step 3: Cross multiply
    24,460.80x = 36,673.27 × 7,811.24
  4. Step 4: Simplify right side
    24,460.80x = 286,463,510.66
  5. Step 5: Solve for x
    x = 286,463,510.66/24,460.80
  6. Step 6: Final answer
    x = 11,711.13

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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.