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Finding the Fourth Proportional to 15,770.60, 23,656.98 and 4,085

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Solution

The fourth proportional to 15,770.60, 23,656.98 and 4,085 is: 6,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.60 : 23,656.98 = 4,085 : x
  2. Step 2: Convert to fraction form
    15,770.60/23,656.98 = 4,085/x
  3. Step 3: Cross multiply
    15,770.60x = 23,656.98 × 4,085
  4. Step 4: Simplify right side
    15,770.60x = 96,638,763.30
  5. Step 5: Solve for x
    x = 96,638,763.30/15,770.60
  6. Step 6: Final answer
    x = 6,127.78

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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.