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Finding the Fourth Proportional to 27,582.38, 38,063.85 and 15,007.22

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Solution

The fourth proportional to 27,582.38, 38,063.85 and 15,007.22 is: 20,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582.38 : 38,063.85 = 15,007.22 : x
  2. Step 2: Convert to fraction form
    27,582.38/38,063.85 = 15,007.22/x
  3. Step 3: Cross multiply
    27,582.38x = 38,063.85 × 15,007.22
  4. Step 4: Simplify right side
    27,582.38x = 571,232,571.00
  5. Step 5: Solve for x
    x = 571,232,571.00/27,582.38
  6. Step 6: Final answer
    x = 20,710.05

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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.