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Finding the Fourth Proportional to 16,301.41, 22,509.74 and 10,343.65

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Solution

The fourth proportional to 16,301.41, 22,509.74 and 10,343.65 is: 14,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.41 : 22,509.74 = 10,343.65 : x
  2. Step 2: Convert to fraction form
    16,301.41/22,509.74 = 10,343.65/x
  3. Step 3: Cross multiply
    16,301.41x = 22,509.74 × 10,343.65
  4. Step 4: Simplify right side
    16,301.41x = 232,832,820.43
  5. Step 5: Solve for x
    x = 232,832,820.43/16,301.41
  6. Step 6: Final answer
    x = 14,282.99

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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.