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Finding the Fourth Proportional to 15,082.84, 22,627.51 and 4,551.98

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Solution

The fourth proportional to 15,082.84, 22,627.51 and 4,551.98 is: 6,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.84 : 22,627.51 = 4,551.98 : x
  2. Step 2: Convert to fraction form
    15,082.84/22,627.51 = 4,551.98/x
  3. Step 3: Cross multiply
    15,082.84x = 22,627.51 × 4,551.98
  4. Step 4: Simplify right side
    15,082.84x = 102,999,944.69
  5. Step 5: Solve for x
    x = 102,999,944.69/15,082.84
  6. Step 6: Final answer
    x = 6,828.95

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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.