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Finding the Fourth Proportional to 14,654.20, 21,984.02 and 4,794.02

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Solution

The fourth proportional to 14,654.20, 21,984.02 and 4,794.02 is: 7,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.20 : 21,984.02 = 4,794.02 : x
  2. Step 2: Convert to fraction form
    14,654.20/21,984.02 = 4,794.02/x
  3. Step 3: Cross multiply
    14,654.20x = 21,984.02 × 4,794.02
  4. Step 4: Simplify right side
    14,654.20x = 105,391,831.56
  5. Step 5: Solve for x
    x = 105,391,831.56/14,654.20
  6. Step 6: Final answer
    x = 7,191.92

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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.