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Finding the Fourth Proportional to 15,038.20, 20,754.06 and 8,325.40

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Solution

The fourth proportional to 15,038.20, 20,754.06 and 8,325.40 is: 11,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,038.20 : 20,754.06 = 8,325.40 : x
  2. Step 2: Convert to fraction form
    15,038.20/20,754.06 = 8,325.40/x
  3. Step 3: Cross multiply
    15,038.20x = 20,754.06 × 8,325.40
  4. Step 4: Simplify right side
    15,038.20x = 172,785,851.12
  5. Step 5: Solve for x
    x = 172,785,851.12/15,038.20
  6. Step 6: Final answer
    x = 11,489.80

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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.