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Finding the Fourth Proportional to 20,083.68, 30,120.48 and 9,547.20

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Solution

The fourth proportional to 20,083.68, 30,120.48 and 9,547.20 is: 14,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.68 : 30,120.48 = 9,547.20 : x
  2. Step 2: Convert to fraction form
    20,083.68/30,120.48 = 9,547.20/x
  3. Step 3: Cross multiply
    20,083.68x = 30,120.48 × 9,547.20
  4. Step 4: Simplify right side
    20,083.68x = 287,566,246.66
  5. Step 5: Solve for x
    x = 287,566,246.66/20,083.68
  6. Step 6: Final answer
    x = 14,318.40

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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.