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Finding the Fourth Proportional to 27,882.75, 38,478.33 and 15,307.50

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Solution

The fourth proportional to 27,882.75, 38,478.33 and 15,307.50 is: 21,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.75 : 38,478.33 = 15,307.50 : x
  2. Step 2: Convert to fraction form
    27,882.75/38,478.33 = 15,307.50/x
  3. Step 3: Cross multiply
    27,882.75x = 38,478.33 × 15,307.50
  4. Step 4: Simplify right side
    27,882.75x = 589,007,036.48
  5. Step 5: Solve for x
    x = 589,007,036.48/27,882.75
  6. Step 6: Final answer
    x = 21,124.42

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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.