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Finding the Fourth Proportional to 15,853.89, 23,781.86 and 5,323.49

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Solution

The fourth proportional to 15,853.89, 23,781.86 and 5,323.49 is: 7,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.89 : 23,781.86 = 5,323.49 : x
  2. Step 2: Convert to fraction form
    15,853.89/23,781.86 = 5,323.49/x
  3. Step 3: Cross multiply
    15,853.89x = 23,781.86 × 5,323.49
  4. Step 4: Simplify right side
    15,853.89x = 126,602,374.98
  5. Step 5: Solve for x
    x = 126,602,374.98/15,853.89
  6. Step 6: Final answer
    x = 7,985.57

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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.