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Finding the Fourth Proportional to 16,019.70, 24,009.30 and 6,145.80

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Solution

The fourth proportional to 16,019.70, 24,009.30 and 6,145.80 is: 9,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.70 : 24,009.30 = 6,145.80 : x
  2. Step 2: Convert to fraction form
    16,019.70/24,009.30 = 6,145.80/x
  3. Step 3: Cross multiply
    16,019.70x = 24,009.30 × 6,145.80
  4. Step 4: Simplify right side
    16,019.70x = 147,556,355.94
  5. Step 5: Solve for x
    x = 147,556,355.94/16,019.70
  6. Step 6: Final answer
    x = 9,210.93

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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.