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Finding the Fourth Proportional to 15,770.68, 23,651.16 and 5,380

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Solution

The fourth proportional to 15,770.68, 23,651.16 and 5,380 is: 8,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.68 : 23,651.16 = 5,380 : x
  2. Step 2: Convert to fraction form
    15,770.68/23,651.16 = 5,380/x
  3. Step 3: Cross multiply
    15,770.68x = 23,651.16 × 5,380
  4. Step 4: Simplify right side
    15,770.68x = 127,243,240.80
  5. Step 5: Solve for x
    x = 127,243,240.80/15,770.68
  6. Step 6: Final answer
    x = 8,068.34

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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.