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Finding the Fourth Proportional to 29,194.51, 40,286.13 and 16,447

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Solution

The fourth proportional to 29,194.51, 40,286.13 and 16,447 is: 22,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,194.51 : 40,286.13 = 16,447 : x
  2. Step 2: Convert to fraction form
    29,194.51/40,286.13 = 16,447/x
  3. Step 3: Cross multiply
    29,194.51x = 40,286.13 × 16,447
  4. Step 4: Simplify right side
    29,194.51x = 662,585,980.11
  5. Step 5: Solve for x
    x = 662,585,980.11/29,194.51
  6. Step 6: Final answer
    x = 22,695.57

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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.