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Finding the Fourth Proportional to 14,009.96, 19,334.46 and 7,722.32

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Solution

The fourth proportional to 14,009.96, 19,334.46 and 7,722.32 is: 10,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.96 : 19,334.46 = 7,722.32 : x
  2. Step 2: Convert to fraction form
    14,009.96/19,334.46 = 7,722.32/x
  3. Step 3: Cross multiply
    14,009.96x = 19,334.46 × 7,722.32
  4. Step 4: Simplify right side
    14,009.96x = 149,306,887.15
  5. Step 5: Solve for x
    x = 149,306,887.15/14,009.96
  6. Step 6: Final answer
    x = 10,657.20

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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.