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Finding the Fourth Proportional to 13,909.86, 19,184.99 and 9,660.87

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Solution

The fourth proportional to 13,909.86, 19,184.99 and 9,660.87 is: 13,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.86 : 19,184.99 = 9,660.87 : x
  2. Step 2: Convert to fraction form
    13,909.86/19,184.99 = 9,660.87/x
  3. Step 3: Cross multiply
    13,909.86x = 19,184.99 × 9,660.87
  4. Step 4: Simplify right side
    13,909.86x = 185,343,646.04
  5. Step 5: Solve for x
    x = 185,343,646.04/13,909.86
  6. Step 6: Final answer
    x = 13,324.62

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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.