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Finding the Fourth Proportional to 20,005.80, 30,008.70 and 16,117.80

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Solution

The fourth proportional to 20,005.80, 30,008.70 and 16,117.80 is: 24,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.80 : 30,008.70 = 16,117.80 : x
  2. Step 2: Convert to fraction form
    20,005.80/30,008.70 = 16,117.80/x
  3. Step 3: Cross multiply
    20,005.80x = 30,008.70 × 16,117.80
  4. Step 4: Simplify right side
    20,005.80x = 483,674,224.86
  5. Step 5: Solve for x
    x = 483,674,224.86/20,005.80
  6. Step 6: Final answer
    x = 24,176.70

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