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Finding the Fourth Proportional to 15,218, 22,828.92 and 5,224.70

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Solution

The fourth proportional to 15,218, 22,828.92 and 5,224.70 is: 7,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,218 : 22,828.92 = 5,224.70 : x
  2. Step 2: Convert to fraction form
    15,218/22,828.92 = 5,224.70/x
  3. Step 3: Cross multiply
    15,218x = 22,828.92 × 5,224.70
  4. Step 4: Simplify right side
    15,218x = 119,274,258.32
  5. Step 5: Solve for x
    x = 119,274,258.32/15,218
  6. Step 6: Final answer
    x = 7,837.71

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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.