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Finding the Fourth Proportional to 13,909.86, 19,214.01 and 10,366.92

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Solution

The fourth proportional to 13,909.86, 19,214.01 and 10,366.92 is: 14,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.86 : 19,214.01 = 10,366.92 : x
  2. Step 2: Convert to fraction form
    13,909.86/19,214.01 = 10,366.92/x
  3. Step 3: Cross multiply
    13,909.86x = 19,214.01 × 10,366.92
  4. Step 4: Simplify right side
    13,909.86x = 199,190,104.55
  5. Step 5: Solve for x
    x = 199,190,104.55/13,909.86
  6. Step 6: Final answer
    x = 14,320.07

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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.