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Finding the Fourth Proportional to 24,574.59, 36,860.67 and 8,991

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Solution

The fourth proportional to 24,574.59, 36,860.67 and 8,991 is: 13,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.59 : 36,860.67 = 8,991 : x
  2. Step 2: Convert to fraction form
    24,574.59/36,860.67 = 8,991/x
  3. Step 3: Cross multiply
    24,574.59x = 36,860.67 × 8,991
  4. Step 4: Simplify right side
    24,574.59x = 331,414,283.97
  5. Step 5: Solve for x
    x = 331,414,283.97/24,574.59
  6. Step 6: Final answer
    x = 13,486.06

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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.