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Finding the Fourth Proportional to 23,224.57, 32,047.60 and 13,151.01

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Solution

The fourth proportional to 23,224.57, 32,047.60 and 13,151.01 is: 18,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.57 : 32,047.60 = 13,151.01 : x
  2. Step 2: Convert to fraction form
    23,224.57/32,047.60 = 13,151.01/x
  3. Step 3: Cross multiply
    23,224.57x = 32,047.60 × 13,151.01
  4. Step 4: Simplify right side
    23,224.57x = 421,458,239.77
  5. Step 5: Solve for x
    x = 421,458,239.77/23,224.57
  6. Step 6: Final answer
    x = 18,147.08

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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.