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Finding the Fourth Proportional to 29,637.69, 40,898.50 and 16,206.34

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Solution

The fourth proportional to 29,637.69, 40,898.50 and 16,206.34 is: 22,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,637.69 : 40,898.50 = 16,206.34 : x
  2. Step 2: Convert to fraction form
    29,637.69/40,898.50 = 16,206.34/x
  3. Step 3: Cross multiply
    29,637.69x = 40,898.50 × 16,206.34
  4. Step 4: Simplify right side
    29,637.69x = 662,814,996.49
  5. Step 5: Solve for x
    x = 662,814,996.49/29,637.69
  6. Step 6: Final answer
    x = 22,363.92

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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.