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Finding the Fourth Proportional to 29,646.72, 40,913.09 and 16,218.86

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Solution

The fourth proportional to 29,646.72, 40,913.09 and 16,218.86 is: 22,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646.72 : 40,913.09 = 16,218.86 : x
  2. Step 2: Convert to fraction form
    29,646.72/40,913.09 = 16,218.86/x
  3. Step 3: Cross multiply
    29,646.72x = 40,913.09 × 16,218.86
  4. Step 4: Simplify right side
    29,646.72x = 663,563,393.22
  5. Step 5: Solve for x
    x = 663,563,393.22/29,646.72
  6. Step 6: Final answer
    x = 22,382.35

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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.