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Finding the Fourth Proportional to 28,184.75, 42,277.43 and 11,533.17

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Solution

The fourth proportional to 28,184.75, 42,277.43 and 11,533.17 is: 17,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,184.75 : 42,277.43 = 11,533.17 : x
  2. Step 2: Convert to fraction form
    28,184.75/42,277.43 = 11,533.17/x
  3. Step 3: Cross multiply
    28,184.75x = 42,277.43 × 11,533.17
  4. Step 4: Simplify right side
    28,184.75x = 487,592,787.35
  5. Step 5: Solve for x
    x = 487,592,787.35/28,184.75
  6. Step 6: Final answer
    x = 17,299.88

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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.