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Finding the Fourth Proportional to 15,088.38, 20,823.24 and 8,375.40

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Solution

The fourth proportional to 15,088.38, 20,823.24 and 8,375.40 is: 11,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088.38 : 20,823.24 = 8,375.40 : x
  2. Step 2: Convert to fraction form
    15,088.38/20,823.24 = 8,375.40/x
  3. Step 3: Cross multiply
    15,088.38x = 20,823.24 × 8,375.40
  4. Step 4: Simplify right side
    15,088.38x = 174,402,964.30
  5. Step 5: Solve for x
    x = 174,402,964.30/15,088.38
  6. Step 6: Final answer
    x = 11,558.76

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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.