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Finding the Fourth Proportional to 15,820.54, 23,728.32 and 5,290.48

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Solution

The fourth proportional to 15,820.54, 23,728.32 and 5,290.48 is: 7,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.54 : 23,728.32 = 5,290.48 : x
  2. Step 2: Convert to fraction form
    15,820.54/23,728.32 = 5,290.48/x
  3. Step 3: Cross multiply
    15,820.54x = 23,728.32 × 5,290.48
  4. Step 4: Simplify right side
    15,820.54x = 125,534,202.39
  5. Step 5: Solve for x
    x = 125,534,202.39/15,820.54
  6. Step 6: Final answer
    x = 7,934.89

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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.