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Finding the Fourth Proportional to 19,809.66, 29,683.02 and 16,093.80

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Solution

The fourth proportional to 19,809.66, 29,683.02 and 16,093.80 is: 24,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.66 : 29,683.02 = 16,093.80 : x
  2. Step 2: Convert to fraction form
    19,809.66/29,683.02 = 16,093.80/x
  3. Step 3: Cross multiply
    19,809.66x = 29,683.02 × 16,093.80
  4. Step 4: Simplify right side
    19,809.66x = 477,712,587.28
  5. Step 5: Solve for x
    x = 477,712,587.28/19,809.66
  6. Step 6: Final answer
    x = 24,115.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.