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Finding the Fourth Proportional to 20,695.50, 31,043.86 and 6,656.95

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Solution

The fourth proportional to 20,695.50, 31,043.86 and 6,656.95 is: 9,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,695.50 : 31,043.86 = 6,656.95 : x
  2. Step 2: Convert to fraction form
    20,695.50/31,043.86 = 6,656.95/x
  3. Step 3: Cross multiply
    20,695.50x = 31,043.86 × 6,656.95
  4. Step 4: Simplify right side
    20,695.50x = 206,657,445.99
  5. Step 5: Solve for x
    x = 206,657,445.99/20,695.50
  6. Step 6: Final answer
    x = 9,985.62

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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.