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Finding the Fourth Proportional to 20,342.64, 30,513.97 and 9,810.70

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Solution

The fourth proportional to 20,342.64, 30,513.97 and 9,810.70 is: 14,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.64 : 30,513.97 = 9,810.70 : x
  2. Step 2: Convert to fraction form
    20,342.64/30,513.97 = 9,810.70/x
  3. Step 3: Cross multiply
    20,342.64x = 30,513.97 × 9,810.70
  4. Step 4: Simplify right side
    20,342.64x = 299,363,304.67
  5. Step 5: Solve for x
    x = 299,363,304.67/20,342.64
  6. Step 6: Final answer
    x = 14,716.05

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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.