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Finding the Fourth Proportional to 10,223.69, 15,335.56 and 2,828.18

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Solution

The fourth proportional to 10,223.69, 15,335.56 and 2,828.18 is: 4,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.69 : 15,335.56 = 2,828.18 : x
  2. Step 2: Convert to fraction form
    10,223.69/15,335.56 = 2,828.18/x
  3. Step 3: Cross multiply
    10,223.69x = 15,335.56 × 2,828.18
  4. Step 4: Simplify right side
    10,223.69x = 43,371,695.29
  5. Step 5: Solve for x
    x = 43,371,695.29/10,223.69
  6. Step 6: Final answer
    x = 4,242.27

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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.