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Finding the Fourth Proportional to 15,888.81, 23,825.82 and 5,893.15

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Solution

The fourth proportional to 15,888.81, 23,825.82 and 5,893.15 is: 8,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.81 : 23,825.82 = 5,893.15 : x
  2. Step 2: Convert to fraction form
    15,888.81/23,825.82 = 5,893.15/x
  3. Step 3: Cross multiply
    15,888.81x = 23,825.82 × 5,893.15
  4. Step 4: Simplify right side
    15,888.81x = 140,409,131.13
  5. Step 5: Solve for x
    x = 140,409,131.13/15,888.81
  6. Step 6: Final answer
    x = 8,836.98

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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.