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Finding the Fourth Proportional to 21,471, 29,632.60 and 13,513.08

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Solution

The fourth proportional to 21,471, 29,632.60 and 13,513.08 is: 18,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471 : 29,632.60 = 13,513.08 : x
  2. Step 2: Convert to fraction form
    21,471/29,632.60 = 13,513.08/x
  3. Step 3: Cross multiply
    21,471x = 29,632.60 × 13,513.08
  4. Step 4: Simplify right side
    21,471x = 400,427,694.41
  5. Step 5: Solve for x
    x = 400,427,694.41/21,471
  6. Step 6: Final answer
    x = 18,649.70

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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.