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Finding the Fourth Proportional to 14,011.89, 20,980.73 and 11,557.65

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Solution

The fourth proportional to 14,011.89, 20,980.73 and 11,557.65 is: 17,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.89 : 20,980.73 = 11,557.65 : x
  2. Step 2: Convert to fraction form
    14,011.89/20,980.73 = 11,557.65/x
  3. Step 3: Cross multiply
    14,011.89x = 20,980.73 × 11,557.65
  4. Step 4: Simplify right side
    14,011.89x = 242,487,934.08
  5. Step 5: Solve for x
    x = 242,487,934.08/14,011.89
  6. Step 6: Final answer
    x = 17,305.87

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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.