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Finding the Fourth Proportional to 14,796.74, 22,202.40 and 10,442.18

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Solution

The fourth proportional to 14,796.74, 22,202.40 and 10,442.18 is: 15,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.74 : 22,202.40 = 10,442.18 : x
  2. Step 2: Convert to fraction form
    14,796.74/22,202.40 = 10,442.18/x
  3. Step 3: Cross multiply
    14,796.74x = 22,202.40 × 10,442.18
  4. Step 4: Simplify right side
    14,796.74x = 231,841,457.23
  5. Step 5: Solve for x
    x = 231,841,457.23/14,796.74
  6. Step 6: Final answer
    x = 15,668.41

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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.