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Finding the Fourth Proportional to 19,883.36, 29,748 and 14,349.44

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Solution

The fourth proportional to 19,883.36, 29,748 and 14,349.44 is: 21,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.36 : 29,748 = 14,349.44 : x
  2. Step 2: Convert to fraction form
    19,883.36/29,748 = 14,349.44/x
  3. Step 3: Cross multiply
    19,883.36x = 29,748 × 14,349.44
  4. Step 4: Simplify right side
    19,883.36x = 426,867,141.12
  5. Step 5: Solve for x
    x = 426,867,141.12/19,883.36
  6. Step 6: Final answer
    x = 21,468.56

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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.