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Finding the Fourth Proportional to 24,484.40, 36,725.92 and 6,954

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Solution

The fourth proportional to 24,484.40, 36,725.92 and 6,954 is: 10,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484.40 : 36,725.92 = 6,954 : x
  2. Step 2: Convert to fraction form
    24,484.40/36,725.92 = 6,954/x
  3. Step 3: Cross multiply
    24,484.40x = 36,725.92 × 6,954
  4. Step 4: Simplify right side
    24,484.40x = 255,392,047.68
  5. Step 5: Solve for x
    x = 255,392,047.68/24,484.40
  6. Step 6: Final answer
    x = 10,430.81

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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.