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Finding the Fourth Proportional to 14,452.84, 21,678.76 and 6,127.50

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Solution

The fourth proportional to 14,452.84, 21,678.76 and 6,127.50 is: 9,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.84 : 21,678.76 = 6,127.50 : x
  2. Step 2: Convert to fraction form
    14,452.84/21,678.76 = 6,127.50/x
  3. Step 3: Cross multiply
    14,452.84x = 21,678.76 × 6,127.50
  4. Step 4: Simplify right side
    14,452.84x = 132,836,601.90
  5. Step 5: Solve for x
    x = 132,836,601.90/14,452.84
  6. Step 6: Final answer
    x = 9,191.04

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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.