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Finding the Fourth Proportional to 22,427.61, 33,643.04 and 9,094.20

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Solution

The fourth proportional to 22,427.61, 33,643.04 and 9,094.20 is: 13,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.61 : 33,643.04 = 9,094.20 : x
  2. Step 2: Convert to fraction form
    22,427.61/33,643.04 = 9,094.20/x
  3. Step 3: Cross multiply
    22,427.61x = 33,643.04 × 9,094.20
  4. Step 4: Simplify right side
    22,427.61x = 305,956,534.37
  5. Step 5: Solve for x
    x = 305,956,534.37/22,427.61
  6. Step 6: Final answer
    x = 13,641.96

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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.