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Finding the Fourth Proportional to 15,114, 22,674.24 and 6,356.28

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Solution

The fourth proportional to 15,114, 22,674.24 and 6,356.28 is: 9,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114 : 22,674.24 = 6,356.28 : x
  2. Step 2: Convert to fraction form
    15,114/22,674.24 = 6,356.28/x
  3. Step 3: Cross multiply
    15,114x = 22,674.24 × 6,356.28
  4. Step 4: Simplify right side
    15,114x = 144,123,818.23
  5. Step 5: Solve for x
    x = 144,123,818.23/15,114
  6. Step 6: Final answer
    x = 9,535.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.