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Finding the Fourth Proportional to 18,526.32, 25,568.80 and 10,972.06

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Solution

The fourth proportional to 18,526.32, 25,568.80 and 10,972.06 is: 15,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526.32 : 25,568.80 = 10,972.06 : x
  2. Step 2: Convert to fraction form
    18,526.32/25,568.80 = 10,972.06/x
  3. Step 3: Cross multiply
    18,526.32x = 25,568.80 × 10,972.06
  4. Step 4: Simplify right side
    18,526.32x = 280,542,316.38
  5. Step 5: Solve for x
    x = 280,542,316.38/18,526.32
  6. Step 6: Final answer
    x = 15,142.91

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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.