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Finding the Fourth Proportional to 29,593.41, 40,838.66 and 16,164.66

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Solution

The fourth proportional to 29,593.41, 40,838.66 and 16,164.66 is: 22,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,593.41 : 40,838.66 = 16,164.66 : x
  2. Step 2: Convert to fraction form
    29,593.41/40,838.66 = 16,164.66/x
  3. Step 3: Cross multiply
    29,593.41x = 40,838.66 × 16,164.66
  4. Step 4: Simplify right side
    29,593.41x = 660,143,186.69
  5. Step 5: Solve for x
    x = 660,143,186.69/29,593.41
  6. Step 6: Final answer
    x = 22,307.10

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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.