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Finding the Fourth Proportional to 14,526.83, 20,039.40 and 11,994.16

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Solution

The fourth proportional to 14,526.83, 20,039.40 and 11,994.16 is: 16,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526.83 : 20,039.40 = 11,994.16 : x
  2. Step 2: Convert to fraction form
    14,526.83/20,039.40 = 11,994.16/x
  3. Step 3: Cross multiply
    14,526.83x = 20,039.40 × 11,994.16
  4. Step 4: Simplify right side
    14,526.83x = 240,355,757.38
  5. Step 5: Solve for x
    x = 240,355,757.38/14,526.83
  6. Step 6: Final answer
    x = 16,545.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.