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Finding the Fourth Proportional to 25,323.44, 37,982.28 and 6,854

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Solution

The fourth proportional to 25,323.44, 37,982.28 and 6,854 is: 10,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,323.44 : 37,982.28 = 6,854 : x
  2. Step 2: Convert to fraction form
    25,323.44/37,982.28 = 6,854/x
  3. Step 3: Cross multiply
    25,323.44x = 37,982.28 × 6,854
  4. Step 4: Simplify right side
    25,323.44x = 260,330,547.12
  5. Step 5: Solve for x
    x = 260,330,547.12/25,323.44
  6. Step 6: Final answer
    x = 10,280.22

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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.