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Finding the Fourth Proportional to 25,587.86, 38,393.31 and 13,883.54

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Solution

The fourth proportional to 25,587.86, 38,393.31 and 13,883.54 is: 20,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,587.86 : 38,393.31 = 13,883.54 : x
  2. Step 2: Convert to fraction form
    25,587.86/38,393.31 = 13,883.54/x
  3. Step 3: Cross multiply
    25,587.86x = 38,393.31 × 13,883.54
  4. Step 4: Simplify right side
    25,587.86x = 533,035,055.12
  5. Step 5: Solve for x
    x = 533,035,055.12/25,587.86
  6. Step 6: Final answer
    x = 20,831.56

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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.