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Finding the Fourth Proportional to 24,887, 37,332.66 and 6,419

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Solution

The fourth proportional to 24,887, 37,332.66 and 6,419 is: 9,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887 : 37,332.66 = 6,419 : x
  2. Step 2: Convert to fraction form
    24,887/37,332.66 = 6,419/x
  3. Step 3: Cross multiply
    24,887x = 37,332.66 × 6,419
  4. Step 4: Simplify right side
    24,887x = 239,638,344.54
  5. Step 5: Solve for x
    x = 239,638,344.54/24,887
  6. Step 6: Final answer
    x = 9,629.06

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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.