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Finding the Fourth Proportional to 21,408.59, 29,534 and 13,857.35

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Solution

The fourth proportional to 21,408.59, 29,534 and 13,857.35 is: 19,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.59 : 29,534 = 13,857.35 : x
  2. Step 2: Convert to fraction form
    21,408.59/29,534 = 13,857.35/x
  3. Step 3: Cross multiply
    21,408.59x = 29,534 × 13,857.35
  4. Step 4: Simplify right side
    21,408.59x = 409,262,974.90
  5. Step 5: Solve for x
    x = 409,262,974.90/21,408.59
  6. Step 6: Final answer
    x = 19,116.76

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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.