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Finding the Fourth Proportional to 23,875.50, 32,945.22 and 13,263.78

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Solution

The fourth proportional to 23,875.50, 32,945.22 and 13,263.78 is: 18,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.50 : 32,945.22 = 13,263.78 : x
  2. Step 2: Convert to fraction form
    23,875.50/32,945.22 = 13,263.78/x
  3. Step 3: Cross multiply
    23,875.50x = 32,945.22 × 13,263.78
  4. Step 4: Simplify right side
    23,875.50x = 436,978,150.13
  5. Step 5: Solve for x
    x = 436,978,150.13/23,875.50
  6. Step 6: Final answer
    x = 18,302.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.