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Finding the Fourth Proportional to 28,563.12, 42,849.24 and 9,838.53

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Solution

The fourth proportional to 28,563.12, 42,849.24 and 9,838.53 is: 14,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,563.12 : 42,849.24 = 9,838.53 : x
  2. Step 2: Convert to fraction form
    28,563.12/42,849.24 = 9,838.53/x
  3. Step 3: Cross multiply
    28,563.12x = 42,849.24 × 9,838.53
  4. Step 4: Simplify right side
    28,563.12x = 421,573,533.22
  5. Step 5: Solve for x
    x = 421,573,533.22/28,563.12
  6. Step 6: Final answer
    x = 14,759.37

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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.