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Finding the Fourth Proportional to 15,289.30, 22,934.43 and 5,428.42

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Solution

The fourth proportional to 15,289.30, 22,934.43 and 5,428.42 is: 8,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,289.30 : 22,934.43 = 5,428.42 : x
  2. Step 2: Convert to fraction form
    15,289.30/22,934.43 = 5,428.42/x
  3. Step 3: Cross multiply
    15,289.30x = 22,934.43 × 5,428.42
  4. Step 4: Simplify right side
    15,289.30x = 124,497,718.50
  5. Step 5: Solve for x
    x = 124,497,718.50/15,289.30
  6. Step 6: Final answer
    x = 8,142.80

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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.