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Finding the Fourth Proportional to 21,170.95, 31,756.43 and 5,377.16

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Solution

The fourth proportional to 21,170.95, 31,756.43 and 5,377.16 is: 8,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170.95 : 31,756.43 = 5,377.16 : x
  2. Step 2: Convert to fraction form
    21,170.95/31,756.43 = 5,377.16/x
  3. Step 3: Cross multiply
    21,170.95x = 31,756.43 × 5,377.16
  4. Step 4: Simplify right side
    21,170.95x = 170,759,405.14
  5. Step 5: Solve for x
    x = 170,759,405.14/21,170.95
  6. Step 6: Final answer
    x = 8,065.74

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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.