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Finding the Fourth Proportional to 15,924.25, 23,884.47 and 5,394.25

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Solution

The fourth proportional to 15,924.25, 23,884.47 and 5,394.25 is: 8,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.25 : 23,884.47 = 5,394.25 : x
  2. Step 2: Convert to fraction form
    15,924.25/23,884.47 = 5,394.25/x
  3. Step 3: Cross multiply
    15,924.25x = 23,884.47 × 5,394.25
  4. Step 4: Simplify right side
    15,924.25x = 128,838,802.30
  5. Step 5: Solve for x
    x = 128,838,802.30/15,924.25
  6. Step 6: Final answer
    x = 8,090.73

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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.