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Finding the Fourth Proportional to 20,374.53, 30,547.31 and 7,884.02

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Solution

The fourth proportional to 20,374.53, 30,547.31 and 7,884.02 is: 11,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374.53 : 30,547.31 = 7,884.02 : x
  2. Step 2: Convert to fraction form
    20,374.53/30,547.31 = 7,884.02/x
  3. Step 3: Cross multiply
    20,374.53x = 30,547.31 × 7,884.02
  4. Step 4: Simplify right side
    20,374.53x = 240,835,602.99
  5. Step 5: Solve for x
    x = 240,835,602.99/20,374.53
  6. Step 6: Final answer
    x = 11,820.42

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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.