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Finding the Fourth Proportional to 22,569.28, 33,852.64 and 6,152

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Solution

The fourth proportional to 22,569.28, 33,852.64 and 6,152 is: 9,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569.28 : 33,852.64 = 6,152 : x
  2. Step 2: Convert to fraction form
    22,569.28/33,852.64 = 6,152/x
  3. Step 3: Cross multiply
    22,569.28x = 33,852.64 × 6,152
  4. Step 4: Simplify right side
    22,569.28x = 208,261,441.28
  5. Step 5: Solve for x
    x = 208,261,441.28/22,569.28
  6. Step 6: Final answer
    x = 9,227.65

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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.