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Finding the Fourth Proportional to 29,409, 40,586.22 and 16,663.38

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Solution

The fourth proportional to 29,409, 40,586.22 and 16,663.38 is: 22,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,409 : 40,586.22 = 16,663.38 : x
  2. Step 2: Convert to fraction form
    29,409/40,586.22 = 16,663.38/x
  3. Step 3: Cross multiply
    29,409x = 40,586.22 × 16,663.38
  4. Step 4: Simplify right side
    29,409x = 676,303,606.62
  5. Step 5: Solve for x
    x = 676,303,606.62/29,409
  6. Step 6: Final answer
    x = 22,996.48

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1.5x scale

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.