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Finding the Fourth Proportional to 14,189.64, 19,581.72 and 8,221.65

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Solution

The fourth proportional to 14,189.64, 19,581.72 and 8,221.65 is: 11,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.64 : 19,581.72 = 8,221.65 : x
  2. Step 2: Convert to fraction form
    14,189.64/19,581.72 = 8,221.65/x
  3. Step 3: Cross multiply
    14,189.64x = 19,581.72 × 8,221.65
  4. Step 4: Simplify right side
    14,189.64x = 160,994,048.24
  5. Step 5: Solve for x
    x = 160,994,048.24/14,189.64
  6. Step 6: Final answer
    x = 11,345.89

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