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Finding the Fourth Proportional to 22,507.14, 33,761.30 and 7,716

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Solution

The fourth proportional to 22,507.14, 33,761.30 and 7,716 is: 11,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.14 : 33,761.30 = 7,716 : x
  2. Step 2: Convert to fraction form
    22,507.14/33,761.30 = 7,716/x
  3. Step 3: Cross multiply
    22,507.14x = 33,761.30 × 7,716
  4. Step 4: Simplify right side
    22,507.14x = 260,502,152.22
  5. Step 5: Solve for x
    x = 260,502,152.22/22,507.14
  6. Step 6: Final answer
    x = 11,574.20

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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.