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Finding the Fourth Proportional to 17,582.71, 26,373.98 and 7,194.46

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Solution

The fourth proportional to 17,582.71, 26,373.98 and 7,194.46 is: 10,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.71 : 26,373.98 = 7,194.46 : x
  2. Step 2: Convert to fraction form
    17,582.71/26,373.98 = 7,194.46/x
  3. Step 3: Cross multiply
    17,582.71x = 26,373.98 × 7,194.46
  4. Step 4: Simplify right side
    17,582.71x = 189,746,376.31
  5. Step 5: Solve for x
    x = 189,746,376.31/17,582.71
  6. Step 6: Final answer
    x = 10,791.65

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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.