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Finding the Fourth Proportional to 23,887.36, 35,834.10 and 7,871.53

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Solution

The fourth proportional to 23,887.36, 35,834.10 and 7,871.53 is: 11,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,887.36 : 35,834.10 = 7,871.53 : x
  2. Step 2: Convert to fraction form
    23,887.36/35,834.10 = 7,871.53/x
  3. Step 3: Cross multiply
    23,887.36x = 35,834.10 × 7,871.53
  4. Step 4: Simplify right side
    23,887.36x = 282,069,141.26
  5. Step 5: Solve for x
    x = 282,069,141.26/23,887.36
  6. Step 6: Final answer
    x = 11,808.30

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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.