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Finding the Fourth Proportional to 21,349, 29,452.74 and 14,182.36

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Solution

The fourth proportional to 21,349, 29,452.74 and 14,182.36 is: 19,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349 : 29,452.74 = 14,182.36 : x
  2. Step 2: Convert to fraction form
    21,349/29,452.74 = 14,182.36/x
  3. Step 3: Cross multiply
    21,349x = 29,452.74 × 14,182.36
  4. Step 4: Simplify right side
    21,349x = 417,709,361.67
  5. Step 5: Solve for x
    x = 417,709,361.67/21,349
  6. Step 6: Final answer
    x = 19,565.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.