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Finding the Fourth Proportional to 15,537.96, 23,315.04 and 6,175.98

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Solution

The fourth proportional to 15,537.96, 23,315.04 and 6,175.98 is: 9,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.96 : 23,315.04 = 6,175.98 : x
  2. Step 2: Convert to fraction form
    15,537.96/23,315.04 = 6,175.98/x
  3. Step 3: Cross multiply
    15,537.96x = 23,315.04 × 6,175.98
  4. Step 4: Simplify right side
    15,537.96x = 143,993,220.74
  5. Step 5: Solve for x
    x = 143,993,220.74/15,537.96
  6. Step 6: Final answer
    x = 9,267.19

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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.