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Finding the Fourth Proportional to 22,950.62, 31,666.46 and 13,384.80

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Solution

The fourth proportional to 22,950.62, 31,666.46 and 13,384.80 is: 18,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950.62 : 31,666.46 = 13,384.80 : x
  2. Step 2: Convert to fraction form
    22,950.62/31,666.46 = 13,384.80/x
  3. Step 3: Cross multiply
    22,950.62x = 31,666.46 × 13,384.80
  4. Step 4: Simplify right side
    22,950.62x = 423,849,233.81
  5. Step 5: Solve for x
    x = 423,849,233.81/22,950.62
  6. Step 6: Final answer
    x = 18,467.88

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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.