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Finding the Fourth Proportional to 28,312.48, 42,468.24 and 9,844

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Solution

The fourth proportional to 28,312.48, 42,468.24 and 9,844 is: 14,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,312.48 : 42,468.24 = 9,844 : x
  2. Step 2: Convert to fraction form
    28,312.48/42,468.24 = 9,844/x
  3. Step 3: Cross multiply
    28,312.48x = 42,468.24 × 9,844
  4. Step 4: Simplify right side
    28,312.48x = 418,057,354.56
  5. Step 5: Solve for x
    x = 418,057,354.56/28,312.48
  6. Step 6: Final answer
    x = 14,765.83

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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.