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Finding the Fourth Proportional to 23,258.99, 32,097.71 and 13,187.21

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Solution

The fourth proportional to 23,258.99, 32,097.71 and 13,187.21 is: 18,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.99 : 32,097.71 = 13,187.21 : x
  2. Step 2: Convert to fraction form
    23,258.99/32,097.71 = 13,187.21/x
  3. Step 3: Cross multiply
    23,258.99x = 32,097.71 × 13,187.21
  4. Step 4: Simplify right side
    23,258.99x = 423,279,114.77
  5. Step 5: Solve for x
    x = 423,279,114.77/23,258.99
  6. Step 6: Final answer
    x = 18,198.51

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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.