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Finding the Fourth Proportional to 20,244.96, 30,386.88 and 9,864

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Solution

The fourth proportional to 20,244.96, 30,386.88 and 9,864 is: 14,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,244.96 : 30,386.88 = 9,864 : x
  2. Step 2: Convert to fraction form
    20,244.96/30,386.88 = 9,864/x
  3. Step 3: Cross multiply
    20,244.96x = 30,386.88 × 9,864
  4. Step 4: Simplify right side
    20,244.96x = 299,736,184.32
  5. Step 5: Solve for x
    x = 299,736,184.32/20,244.96
  6. Step 6: Final answer
    x = 14,805.47

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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.