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Finding the Fourth Proportional to 15,878.16, 23,817.50 and 6,022.08

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Solution

The fourth proportional to 15,878.16, 23,817.50 and 6,022.08 is: 9,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.16 : 23,817.50 = 6,022.08 : x
  2. Step 2: Convert to fraction form
    15,878.16/23,817.50 = 6,022.08/x
  3. Step 3: Cross multiply
    15,878.16x = 23,817.50 × 6,022.08
  4. Step 4: Simplify right side
    15,878.16x = 143,430,890.40
  5. Step 5: Solve for x
    x = 143,430,890.40/15,878.16
  6. Step 6: Final answer
    x = 9,033.22

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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.