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Finding the Fourth Proportional to 15,474, 21,343.86 and 10,369.66

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Solution

The fourth proportional to 15,474, 21,343.86 and 10,369.66 is: 14,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474 : 21,343.86 = 10,369.66 : x
  2. Step 2: Convert to fraction form
    15,474/21,343.86 = 10,369.66/x
  3. Step 3: Cross multiply
    15,474x = 21,343.86 × 10,369.66
  4. Step 4: Simplify right side
    15,474x = 221,328,571.29
  5. Step 5: Solve for x
    x = 221,328,571.29/15,474
  6. Step 6: Final answer
    x = 14,303.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.