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Finding the Fourth Proportional to 15,082.53, 22,620.15 and 6,324

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Solution

The fourth proportional to 15,082.53, 22,620.15 and 6,324 is: 9,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.53 : 22,620.15 = 6,324 : x
  2. Step 2: Convert to fraction form
    15,082.53/22,620.15 = 6,324/x
  3. Step 3: Cross multiply
    15,082.53x = 22,620.15 × 6,324
  4. Step 4: Simplify right side
    15,082.53x = 143,049,828.60
  5. Step 5: Solve for x
    x = 143,049,828.60/15,082.53
  6. Step 6: Final answer
    x = 9,484.47

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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.