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Finding the Fourth Proportional to 29,638.16, 40,901.64 and 16,209.12

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Solution

The fourth proportional to 29,638.16, 40,901.64 and 16,209.12 is: 22,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638.16 : 40,901.64 = 16,209.12 : x
  2. Step 2: Convert to fraction form
    29,638.16/40,901.64 = 16,209.12/x
  3. Step 3: Cross multiply
    29,638.16x = 40,901.64 × 16,209.12
  4. Step 4: Simplify right side
    29,638.16x = 662,979,590.96
  5. Step 5: Solve for x
    x = 662,979,590.96/29,638.16
  6. Step 6: Final answer
    x = 22,369.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.