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Finding the Fourth Proportional to 29,406, 40,580.28 and 16,158

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Solution

The fourth proportional to 29,406, 40,580.28 and 16,158 is: 22,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406 : 40,580.28 = 16,158 : x
  2. Step 2: Convert to fraction form
    29,406/40,580.28 = 16,158/x
  3. Step 3: Cross multiply
    29,406x = 40,580.28 × 16,158
  4. Step 4: Simplify right side
    29,406x = 655,696,164.24
  5. Step 5: Solve for x
    x = 655,696,164.24/29,406
  6. Step 6: Final answer
    x = 22,298.04

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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.