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Finding the Fourth Proportional to 21,478.38, 29,643.40 and 13,099.74

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Solution

The fourth proportional to 21,478.38, 29,643.40 and 13,099.74 is: 18,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.38 : 29,643.40 = 13,099.74 : x
  2. Step 2: Convert to fraction form
    21,478.38/29,643.40 = 13,099.74/x
  3. Step 3: Cross multiply
    21,478.38x = 29,643.40 × 13,099.74
  4. Step 4: Simplify right side
    21,478.38x = 388,320,832.72
  5. Step 5: Solve for x
    x = 388,320,832.72/21,478.38
  6. Step 6: Final answer
    x = 18,079.61

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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.