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Finding the Fourth Proportional to 15,878.80, 23,817.12 and 6,017.32

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Solution

The fourth proportional to 15,878.80, 23,817.12 and 6,017.32 is: 9,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.80 : 23,817.12 = 6,017.32 : x
  2. Step 2: Convert to fraction form
    15,878.80/23,817.12 = 6,017.32/x
  3. Step 3: Cross multiply
    15,878.80x = 23,817.12 × 6,017.32
  4. Step 4: Simplify right side
    15,878.80x = 143,315,232.52
  5. Step 5: Solve for x
    x = 143,315,232.52/15,878.80
  6. Step 6: Final answer
    x = 9,025.57

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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.