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Finding the Fourth Proportional to 23,230.15, 32,055.03 and 12,881.64

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Solution

The fourth proportional to 23,230.15, 32,055.03 and 12,881.64 is: 17,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.15 : 32,055.03 = 12,881.64 : x
  2. Step 2: Convert to fraction form
    23,230.15/32,055.03 = 12,881.64/x
  3. Step 3: Cross multiply
    23,230.15x = 32,055.03 × 12,881.64
  4. Step 4: Simplify right side
    23,230.15x = 412,921,284.75
  5. Step 5: Solve for x
    x = 412,921,284.75/23,230.15
  6. Step 6: Final answer
    x = 17,775.23

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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.