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Finding the Fourth Proportional to 15,822, 23,721.28 and 9,580.54

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Solution

The fourth proportional to 15,822, 23,721.28 and 9,580.54 is: 14,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822 : 23,721.28 = 9,580.54 : x
  2. Step 2: Convert to fraction form
    15,822/23,721.28 = 9,580.54/x
  3. Step 3: Cross multiply
    15,822x = 23,721.28 × 9,580.54
  4. Step 4: Simplify right side
    15,822x = 227,262,671.89
  5. Step 5: Solve for x
    x = 227,262,671.89/15,822
  6. Step 6: Final answer
    x = 14,363.71

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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.