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Finding the Fourth Proportional to 22,497.06, 33,742.98 and 7,704

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Solution

The fourth proportional to 22,497.06, 33,742.98 and 7,704 is: 11,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.06 : 33,742.98 = 7,704 : x
  2. Step 2: Convert to fraction form
    22,497.06/33,742.98 = 7,704/x
  3. Step 3: Cross multiply
    22,497.06x = 33,742.98 × 7,704
  4. Step 4: Simplify right side
    22,497.06x = 259,955,917.92
  5. Step 5: Solve for x
    x = 259,955,917.92/22,497.06
  6. Step 6: Final answer
    x = 11,555.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.