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Finding the Fourth Proportional to 14,872, 20,523.36 and 8,248

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Solution

The fourth proportional to 14,872, 20,523.36 and 8,248 is: 11,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872 : 20,523.36 = 8,248 : x
  2. Step 2: Convert to fraction form
    14,872/20,523.36 = 8,248/x
  3. Step 3: Cross multiply
    14,872x = 20,523.36 × 8,248
  4. Step 4: Simplify right side
    14,872x = 169,276,673.28
  5. Step 5: Solve for x
    x = 169,276,673.28/14,872
  6. Step 6: Final answer
    x = 11,382.24

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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.