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Finding the Fourth Proportional to 13,328.24, 19,990.84 and 4,562

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Solution

The fourth proportional to 13,328.24, 19,990.84 and 4,562 is: 6,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328.24 : 19,990.84 = 4,562 : x
  2. Step 2: Convert to fraction form
    13,328.24/19,990.84 = 4,562/x
  3. Step 3: Cross multiply
    13,328.24x = 19,990.84 × 4,562
  4. Step 4: Simplify right side
    13,328.24x = 91,198,212.08
  5. Step 5: Solve for x
    x = 91,198,212.08/13,328.24
  6. Step 6: Final answer
    x = 6,842.48

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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.