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Finding the Fourth Proportional to 15,909.38, 21,957.82 and 9,194.08

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Solution

The fourth proportional to 15,909.38, 21,957.82 and 9,194.08 is: 12,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.38 : 21,957.82 = 9,194.08 : x
  2. Step 2: Convert to fraction form
    15,909.38/21,957.82 = 9,194.08/x
  3. Step 3: Cross multiply
    15,909.38x = 21,957.82 × 9,194.08
  4. Step 4: Simplify right side
    15,909.38x = 201,881,953.71
  5. Step 5: Solve for x
    x = 201,881,953.71/15,909.38
  6. Step 6: Final answer
    x = 12,689.49

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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.