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Finding the Fourth Proportional to 13,752.30, 20,623.65 and 7,176.30

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Solution

The fourth proportional to 13,752.30, 20,623.65 and 7,176.30 is: 10,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.30 : 20,623.65 = 7,176.30 : x
  2. Step 2: Convert to fraction form
    13,752.30/20,623.65 = 7,176.30/x
  3. Step 3: Cross multiply
    13,752.30x = 20,623.65 × 7,176.30
  4. Step 4: Simplify right side
    13,752.30x = 148,001,499.50
  5. Step 5: Solve for x
    x = 148,001,499.50/13,752.30
  6. Step 6: Final answer
    x = 10,761.95

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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.