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Finding the Fourth Proportional to 22,352.34, 33,510.69 and 14,462.94

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Solution

The fourth proportional to 22,352.34, 33,510.69 and 14,462.94 is: 21,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.34 : 33,510.69 = 14,462.94 : x
  2. Step 2: Convert to fraction form
    22,352.34/33,510.69 = 14,462.94/x
  3. Step 3: Cross multiply
    22,352.34x = 33,510.69 × 14,462.94
  4. Step 4: Simplify right side
    22,352.34x = 484,663,098.83
  5. Step 5: Solve for x
    x = 484,663,098.83/22,352.34
  6. Step 6: Final answer
    x = 21,682.88

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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.