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Finding the Fourth Proportional to 15,914.98, 23,839.96 and 7,569.75

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Solution

The fourth proportional to 15,914.98, 23,839.96 and 7,569.75 is: 11,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.98 : 23,839.96 = 7,569.75 : x
  2. Step 2: Convert to fraction form
    15,914.98/23,839.96 = 7,569.75/x
  3. Step 3: Cross multiply
    15,914.98x = 23,839.96 × 7,569.75
  4. Step 4: Simplify right side
    15,914.98x = 180,462,537.21
  5. Step 5: Solve for x
    x = 180,462,537.21/15,914.98
  6. Step 6: Final answer
    x = 11,339.17

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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.