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Finding the Fourth Proportional to 24,407.40, 36,621.72 and 9,627.08

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Solution

The fourth proportional to 24,407.40, 36,621.72 and 9,627.08 is: 14,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.40 : 36,621.72 = 9,627.08 : x
  2. Step 2: Convert to fraction form
    24,407.40/36,621.72 = 9,627.08/x
  3. Step 3: Cross multiply
    24,407.40x = 36,621.72 × 9,627.08
  4. Step 4: Simplify right side
    24,407.40x = 352,560,228.18
  5. Step 5: Solve for x
    x = 352,560,228.18/24,407.40
  6. Step 6: Final answer
    x = 14,444.81

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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.