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Finding the Fourth Proportional to 22,754.34, 34,146.99 and 13,962.42

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Solution

The fourth proportional to 22,754.34, 34,146.99 and 13,962.42 is: 20,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.34 : 34,146.99 = 13,962.42 : x
  2. Step 2: Convert to fraction form
    22,754.34/34,146.99 = 13,962.42/x
  3. Step 3: Cross multiply
    22,754.34x = 34,146.99 × 13,962.42
  4. Step 4: Simplify right side
    22,754.34x = 476,774,616.12
  5. Step 5: Solve for x
    x = 476,774,616.12/22,754.34
  6. Step 6: Final answer
    x = 20,953.13

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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.