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Finding the Fourth Proportional to 14,442.38, 21,663.57 and 5,208.38

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Solution

The fourth proportional to 14,442.38, 21,663.57 and 5,208.38 is: 7,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.38 : 21,663.57 = 5,208.38 : x
  2. Step 2: Convert to fraction form
    14,442.38/21,663.57 = 5,208.38/x
  3. Step 3: Cross multiply
    14,442.38x = 21,663.57 × 5,208.38
  4. Step 4: Simplify right side
    14,442.38x = 112,831,970.36
  5. Step 5: Solve for x
    x = 112,831,970.36/14,442.38
  6. Step 6: Final answer
    x = 7,812.56

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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.