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Finding the Fourth Proportional to 20,335.95, 30,506.71 and 6,297.13

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Solution

The fourth proportional to 20,335.95, 30,506.71 and 6,297.13 is: 9,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335.95 : 30,506.71 = 6,297.13 : x
  2. Step 2: Convert to fraction form
    20,335.95/30,506.71 = 6,297.13/x
  3. Step 3: Cross multiply
    20,335.95x = 30,506.71 × 6,297.13
  4. Step 4: Simplify right side
    20,335.95x = 192,104,718.74
  5. Step 5: Solve for x
    x = 192,104,718.74/20,335.95
  6. Step 6: Final answer
    x = 9,446.56

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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.