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Finding the Fourth Proportional to 21,135.84, 31,704.56 and 9,449.16

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Solution

The fourth proportional to 21,135.84, 31,704.56 and 9,449.16 is: 14,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,135.84 : 31,704.56 = 9,449.16 : x
  2. Step 2: Convert to fraction form
    21,135.84/31,704.56 = 9,449.16/x
  3. Step 3: Cross multiply
    21,135.84x = 31,704.56 × 9,449.16
  4. Step 4: Simplify right side
    21,135.84x = 299,581,460.17
  5. Step 5: Solve for x
    x = 299,581,460.17/21,135.84
  6. Step 6: Final answer
    x = 14,174.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.