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Finding the Fourth Proportional to 15,892.50, 23,809.69 and 7,443.51

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Solution

The fourth proportional to 15,892.50, 23,809.69 and 7,443.51 is: 11,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.50 : 23,809.69 = 7,443.51 : x
  2. Step 2: Convert to fraction form
    15,892.50/23,809.69 = 7,443.51/x
  3. Step 3: Cross multiply
    15,892.50x = 23,809.69 × 7,443.51
  4. Step 4: Simplify right side
    15,892.50x = 177,227,665.61
  5. Step 5: Solve for x
    x = 177,227,665.61/15,892.50
  6. Step 6: Final answer
    x = 11,151.65

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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.