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Finding the Fourth Proportional to 29,214, 40,322.61 and 16,646.04

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Solution

The fourth proportional to 29,214, 40,322.61 and 16,646.04 is: 22,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214 : 40,322.61 = 16,646.04 : x
  2. Step 2: Convert to fraction form
    29,214/40,322.61 = 16,646.04/x
  3. Step 3: Cross multiply
    29,214x = 40,322.61 × 16,646.04
  4. Step 4: Simplify right side
    29,214x = 671,211,778.96
  5. Step 5: Solve for x
    x = 671,211,778.96/29,214
  6. Step 6: Final answer
    x = 22,975.69

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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.