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Finding the Fourth Proportional to 13,899.20, 20,848.80 and 6,972.08

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Solution

The fourth proportional to 13,899.20, 20,848.80 and 6,972.08 is: 10,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,899.20 : 20,848.80 = 6,972.08 : x
  2. Step 2: Convert to fraction form
    13,899.20/20,848.80 = 6,972.08/x
  3. Step 3: Cross multiply
    13,899.20x = 20,848.80 × 6,972.08
  4. Step 4: Simplify right side
    13,899.20x = 145,359,501.50
  5. Step 5: Solve for x
    x = 145,359,501.50/13,899.20
  6. Step 6: Final answer
    x = 10,458.12

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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.