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Finding the Fourth Proportional to 29,454, 40,646.52 and 16,206

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Solution

The fourth proportional to 29,454, 40,646.52 and 16,206 is: 22,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,454 : 40,646.52 = 16,206 : x
  2. Step 2: Convert to fraction form
    29,454/40,646.52 = 16,206/x
  3. Step 3: Cross multiply
    29,454x = 40,646.52 × 16,206
  4. Step 4: Simplify right side
    29,454x = 658,717,503.12
  5. Step 5: Solve for x
    x = 658,717,503.12/29,454
  6. Step 6: Final answer
    x = 22,364.28

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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.