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Finding the Fourth Proportional to 21,408, 29,561.28 and 13,463.52

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Solution

The fourth proportional to 21,408, 29,561.28 and 13,463.52 is: 18,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408 : 29,561.28 = 13,463.52 : x
  2. Step 2: Convert to fraction form
    21,408/29,561.28 = 13,463.52/x
  3. Step 3: Cross multiply
    21,408x = 29,561.28 × 13,463.52
  4. Step 4: Simplify right side
    21,408x = 397,998,884.51
  5. Step 5: Solve for x
    x = 397,998,884.51/21,408
  6. Step 6: Final answer
    x = 18,591.13

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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.