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Finding the Fourth Proportional to 18,077.68, 24,934.64 and 15,382

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Solution

The fourth proportional to 18,077.68, 24,934.64 and 15,382 is: 21,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,077.68 : 24,934.64 = 15,382 : x
  2. Step 2: Convert to fraction form
    18,077.68/24,934.64 = 15,382/x
  3. Step 3: Cross multiply
    18,077.68x = 24,934.64 × 15,382
  4. Step 4: Simplify right side
    18,077.68x = 383,544,632.48
  5. Step 5: Solve for x
    x = 383,544,632.48/18,077.68
  6. Step 6: Final answer
    x = 21,216.47

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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.