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Finding the Fourth Proportional to 14,586, 21,882.90 and 5,827.08

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Solution

The fourth proportional to 14,586, 21,882.90 and 5,827.08 is: 8,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586 : 21,882.90 = 5,827.08 : x
  2. Step 2: Convert to fraction form
    14,586/21,882.90 = 5,827.08/x
  3. Step 3: Cross multiply
    14,586x = 21,882.90 × 5,827.08
  4. Step 4: Simplify right side
    14,586x = 127,513,408.93
  5. Step 5: Solve for x
    x = 127,513,408.93/14,586
  6. Step 6: Final answer
    x = 8,742.18

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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.