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Finding the Fourth Proportional to 27,582.76, 38,063.46 and 15,007.24

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Solution

The fourth proportional to 27,582.76, 38,063.46 and 15,007.24 is: 20,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582.76 : 38,063.46 = 15,007.24 : x
  2. Step 2: Convert to fraction form
    27,582.76/38,063.46 = 15,007.24/x
  3. Step 3: Cross multiply
    27,582.76x = 38,063.46 × 15,007.24
  4. Step 4: Simplify right side
    27,582.76x = 571,227,479.45
  5. Step 5: Solve for x
    x = 571,227,479.45/27,582.76
  6. Step 6: Final answer
    x = 20,709.58

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