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Finding the Fourth Proportional to 14,009.80, 19,332.37 and 7,722.17

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Solution

The fourth proportional to 14,009.80, 19,332.37 and 7,722.17 is: 10,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.80 : 19,332.37 = 7,722.17 : x
  2. Step 2: Convert to fraction form
    14,009.80/19,332.37 = 7,722.17/x
  3. Step 3: Cross multiply
    14,009.80x = 19,332.37 × 7,722.17
  4. Step 4: Simplify right side
    14,009.80x = 149,287,847.64
  5. Step 5: Solve for x
    x = 149,287,847.64/14,009.80
  6. Step 6: Final answer
    x = 10,655.96

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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.