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Finding the Fourth Proportional to 24,549.31, 36,813.03 and 8,956

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Solution

The fourth proportional to 24,549.31, 36,813.03 and 8,956 is: 13,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.31 : 36,813.03 = 8,956 : x
  2. Step 2: Convert to fraction form
    24,549.31/36,813.03 = 8,956/x
  3. Step 3: Cross multiply
    24,549.31x = 36,813.03 × 8,956
  4. Step 4: Simplify right side
    24,549.31x = 329,697,496.68
  5. Step 5: Solve for x
    x = 329,697,496.68/24,549.31
  6. Step 6: Final answer
    x = 13,430.01

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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.