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Finding the Fourth Proportional to 15,280.65, 21,087 and 8,474.63

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Solution

The fourth proportional to 15,280.65, 21,087 and 8,474.63 is: 11,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,280.65 : 21,087 = 8,474.63 : x
  2. Step 2: Convert to fraction form
    15,280.65/21,087 = 8,474.63/x
  3. Step 3: Cross multiply
    15,280.65x = 21,087 × 8,474.63
  4. Step 4: Simplify right side
    15,280.65x = 178,704,417.38
  5. Step 5: Solve for x
    x = 178,704,417.38/15,280.65
  6. Step 6: Final answer
    x = 11,694.82

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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.