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Finding the Fourth Proportional to 15,959.15, 22,022.63 and 9,581.97

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Solution

The fourth proportional to 15,959.15, 22,022.63 and 9,581.97 is: 13,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959.15 : 22,022.63 = 9,581.97 : x
  2. Step 2: Convert to fraction form
    15,959.15/22,022.63 = 9,581.97/x
  3. Step 3: Cross multiply
    15,959.15x = 22,022.63 × 9,581.97
  4. Step 4: Simplify right side
    15,959.15x = 211,020,132.07
  5. Step 5: Solve for x
    x = 211,020,132.07/15,959.15
  6. Step 6: Final answer
    x = 13,222.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.