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Finding the Fourth Proportional to 20,695.20, 31,049.28 and 13,308

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Solution

The fourth proportional to 20,695.20, 31,049.28 and 13,308 is: 19,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,695.20 : 31,049.28 = 13,308 : x
  2. Step 2: Convert to fraction form
    20,695.20/31,049.28 = 13,308/x
  3. Step 3: Cross multiply
    20,695.20x = 31,049.28 × 13,308
  4. Step 4: Simplify right side
    20,695.20x = 413,203,818.24
  5. Step 5: Solve for x
    x = 413,203,818.24/20,695.20
  6. Step 6: Final answer
    x = 19,966.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.