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Finding the Fourth Proportional to 23,767.22, 35,652.76 and 6,237

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Solution

The fourth proportional to 23,767.22, 35,652.76 and 6,237 is: 9,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.22 : 35,652.76 = 6,237 : x
  2. Step 2: Convert to fraction form
    23,767.22/35,652.76 = 6,237/x
  3. Step 3: Cross multiply
    23,767.22x = 35,652.76 × 6,237
  4. Step 4: Simplify right side
    23,767.22x = 222,366,248.53
  5. Step 5: Solve for x
    x = 222,366,248.53/23,767.22
  6. Step 6: Final answer
    x = 9,356.00

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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.