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Finding the Fourth Proportional to 22,775.68, 31,433.52 and 13,348

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Solution

The fourth proportional to 22,775.68, 31,433.52 and 13,348 is: 18,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.68 : 31,433.52 = 13,348 : x
  2. Step 2: Convert to fraction form
    22,775.68/31,433.52 = 13,348/x
  3. Step 3: Cross multiply
    22,775.68x = 31,433.52 × 13,348
  4. Step 4: Simplify right side
    22,775.68x = 419,574,624.96
  5. Step 5: Solve for x
    x = 419,574,624.96/22,775.68
  6. Step 6: Final answer
    x = 18,422.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.