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Finding the Fourth Proportional to 22,340.16, 33,509.64 and 7,548.96

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Solution

The fourth proportional to 22,340.16, 33,509.64 and 7,548.96 is: 11,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340.16 : 33,509.64 = 7,548.96 : x
  2. Step 2: Convert to fraction form
    22,340.16/33,509.64 = 7,548.96/x
  3. Step 3: Cross multiply
    22,340.16x = 33,509.64 × 7,548.96
  4. Step 4: Simplify right side
    22,340.16x = 252,962,931.97
  5. Step 5: Solve for x
    x = 252,962,931.97/22,340.16
  6. Step 6: Final answer
    x = 11,323.24

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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.