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Finding the Fourth Proportional to 22,036.48, 33,065.04 and 10,348

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Solution

The fourth proportional to 22,036.48, 33,065.04 and 10,348 is: 15,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,036.48 : 33,065.04 = 10,348 : x
  2. Step 2: Convert to fraction form
    22,036.48/33,065.04 = 10,348/x
  3. Step 3: Cross multiply
    22,036.48x = 33,065.04 × 10,348
  4. Step 4: Simplify right side
    22,036.48x = 342,157,033.92
  5. Step 5: Solve for x
    x = 342,157,033.92/22,036.48
  6. Step 6: Final answer
    x = 15,526.85

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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.