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Finding the Fourth Proportional to 14,033.86, 19,366.84 and 7,660.50

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Solution

The fourth proportional to 14,033.86, 19,366.84 and 7,660.50 is: 10,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.86 : 19,366.84 = 7,660.50 : x
  2. Step 2: Convert to fraction form
    14,033.86/19,366.84 = 7,660.50/x
  3. Step 3: Cross multiply
    14,033.86x = 19,366.84 × 7,660.50
  4. Step 4: Simplify right side
    14,033.86x = 148,359,677.82
  5. Step 5: Solve for x
    x = 148,359,677.82/14,033.86
  6. Step 6: Final answer
    x = 10,571.55

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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.