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Finding the Fourth Proportional to 23,119.77, 31,906.08 and 13,047.63

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Solution

The fourth proportional to 23,119.77, 31,906.08 and 13,047.63 is: 18,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.77 : 31,906.08 = 13,047.63 : x
  2. Step 2: Convert to fraction form
    23,119.77/31,906.08 = 13,047.63/x
  3. Step 3: Cross multiply
    23,119.77x = 31,906.08 × 13,047.63
  4. Step 4: Simplify right side
    23,119.77x = 416,298,726.59
  5. Step 5: Solve for x
    x = 416,298,726.59/23,119.77
  6. Step 6: Final answer
    x = 18,006.18

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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.