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Finding the Fourth Proportional to 20,340.12, 30,363.63 and 17,715

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Solution

The fourth proportional to 20,340.12, 30,363.63 and 17,715 is: 26,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340.12 : 30,363.63 = 17,715 : x
  2. Step 2: Convert to fraction form
    20,340.12/30,363.63 = 17,715/x
  3. Step 3: Cross multiply
    20,340.12x = 30,363.63 × 17,715
  4. Step 4: Simplify right side
    20,340.12x = 537,891,705.45
  5. Step 5: Solve for x
    x = 537,891,705.45/20,340.12
  6. Step 6: Final answer
    x = 26,444.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.