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Finding the Fourth Proportional to 28,296.48, 42,444.24 and 9,828

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Solution

The fourth proportional to 28,296.48, 42,444.24 and 9,828 is: 14,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,296.48 : 42,444.24 = 9,828 : x
  2. Step 2: Convert to fraction form
    28,296.48/42,444.24 = 9,828/x
  3. Step 3: Cross multiply
    28,296.48x = 42,444.24 × 9,828
  4. Step 4: Simplify right side
    28,296.48x = 417,141,990.72
  5. Step 5: Solve for x
    x = 417,141,990.72/28,296.48
  6. Step 6: Final answer
    x = 14,741.83

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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.