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Finding the Fourth Proportional to 15,876.40, 21,908.58 and 9,161.64

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Solution

The fourth proportional to 15,876.40, 21,908.58 and 9,161.64 is: 12,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.40 : 21,908.58 = 9,161.64 : x
  2. Step 2: Convert to fraction form
    15,876.40/21,908.58 = 9,161.64/x
  3. Step 3: Cross multiply
    15,876.40x = 21,908.58 × 9,161.64
  4. Step 4: Simplify right side
    15,876.40x = 200,718,522.87
  5. Step 5: Solve for x
    x = 200,718,522.87/15,876.40
  6. Step 6: Final answer
    x = 12,642.57

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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.