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Finding the Fourth Proportional to 11,985.90, 16,502.89 and 10,189.84

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Solution

The fourth proportional to 11,985.90, 16,502.89 and 10,189.84 is: 14,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.90 : 16,502.89 = 10,189.84 : x
  2. Step 2: Convert to fraction form
    11,985.90/16,502.89 = 10,189.84/x
  3. Step 3: Cross multiply
    11,985.90x = 16,502.89 × 10,189.84
  4. Step 4: Simplify right side
    11,985.90x = 168,161,808.64
  5. Step 5: Solve for x
    x = 168,161,808.64/11,985.90
  6. Step 6: Final answer
    x = 14,029.97

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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.