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Finding the Fourth Proportional to 20,109.65, 30,029.05 and 16,419.08

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Solution

The fourth proportional to 20,109.65, 30,029.05 and 16,419.08 is: 24,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.65 : 30,029.05 = 16,419.08 : x
  2. Step 2: Convert to fraction form
    20,109.65/30,029.05 = 16,419.08/x
  3. Step 3: Cross multiply
    20,109.65x = 30,029.05 × 16,419.08
  4. Step 4: Simplify right side
    20,109.65x = 493,049,374.27
  5. Step 5: Solve for x
    x = 493,049,374.27/20,109.65
  6. Step 6: Final answer
    x = 24,518.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.