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Finding the Fourth Proportional to 24,621, 36,931.55 and 6,153

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Solution

The fourth proportional to 24,621, 36,931.55 and 6,153 is: 9,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,621 : 36,931.55 = 6,153 : x
  2. Step 2: Convert to fraction form
    24,621/36,931.55 = 6,153/x
  3. Step 3: Cross multiply
    24,621x = 36,931.55 × 6,153
  4. Step 4: Simplify right side
    24,621x = 227,239,796.39
  5. Step 5: Solve for x
    x = 227,239,796.39/24,621
  6. Step 6: Final answer
    x = 9,229.51

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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.