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Finding the Fourth Proportional to 15,894.11, 21,934.92 and 9,180.02

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Solution

The fourth proportional to 15,894.11, 21,934.92 and 9,180.02 is: 12,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.11 : 21,934.92 = 9,180.02 : x
  2. Step 2: Convert to fraction form
    15,894.11/21,934.92 = 9,180.02/x
  3. Step 3: Cross multiply
    15,894.11x = 21,934.92 × 9,180.02
  4. Step 4: Simplify right side
    15,894.11x = 201,363,004.30
  5. Step 5: Solve for x
    x = 201,363,004.30/15,894.11
  6. Step 6: Final answer
    x = 12,669.03

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