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Finding the Fourth Proportional to 29,638.71, 40,902.30 and 16,209.72

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Solution

The fourth proportional to 29,638.71, 40,902.30 and 16,209.72 is: 22,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638.71 : 40,902.30 = 16,209.72 : x
  2. Step 2: Convert to fraction form
    29,638.71/40,902.30 = 16,209.72/x
  3. Step 3: Cross multiply
    29,638.71x = 40,902.30 × 16,209.72
  4. Step 4: Simplify right side
    29,638.71x = 663,014,830.36
  5. Step 5: Solve for x
    x = 663,014,830.36/29,638.71
  6. Step 6: Final answer
    x = 22,369.89

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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.