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Finding the Fourth Proportional to 15,313, 22,974.96 and 7,527.28

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Solution

The fourth proportional to 15,313, 22,974.96 and 7,527.28 is: 11,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313 : 22,974.96 = 7,527.28 : x
  2. Step 2: Convert to fraction form
    15,313/22,974.96 = 7,527.28/x
  3. Step 3: Cross multiply
    15,313x = 22,974.96 × 7,527.28
  4. Step 4: Simplify right side
    15,313x = 172,938,956.91
  5. Step 5: Solve for x
    x = 172,938,956.91/15,313
  6. Step 6: Final answer
    x = 11,293.60

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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.