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Finding the Fourth Proportional to 15,974.46, 22,042.71 and 9,259.16

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Solution

The fourth proportional to 15,974.46, 22,042.71 and 9,259.16 is: 12,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974.46 : 22,042.71 = 9,259.16 : x
  2. Step 2: Convert to fraction form
    15,974.46/22,042.71 = 9,259.16/x
  3. Step 3: Cross multiply
    15,974.46x = 22,042.71 × 9,259.16
  4. Step 4: Simplify right side
    15,974.46x = 204,096,868.51
  5. Step 5: Solve for x
    x = 204,096,868.51/15,974.46
  6. Step 6: Final answer
    x = 12,776.45

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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.