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Finding the Fourth Proportional to 15,954.59, 22,019.78 and 9,584.72

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Solution

The fourth proportional to 15,954.59, 22,019.78 and 9,584.72 is: 13,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.59 : 22,019.78 = 9,584.72 : x
  2. Step 2: Convert to fraction form
    15,954.59/22,019.78 = 9,584.72/x
  3. Step 3: Cross multiply
    15,954.59x = 22,019.78 × 9,584.72
  4. Step 4: Simplify right side
    15,954.59x = 211,053,267.74
  5. Step 5: Solve for x
    x = 211,053,267.74/15,954.59
  6. Step 6: Final answer
    x = 13,228.38

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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.