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Finding the Fourth Proportional to 19,402.56, 29,118.33 and 14,416.47

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Solution

The fourth proportional to 19,402.56, 29,118.33 and 14,416.47 is: 21,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402.56 : 29,118.33 = 14,416.47 : x
  2. Step 2: Convert to fraction form
    19,402.56/29,118.33 = 14,416.47/x
  3. Step 3: Cross multiply
    19,402.56x = 29,118.33 × 14,416.47
  4. Step 4: Simplify right side
    19,402.56x = 419,783,530.90
  5. Step 5: Solve for x
    x = 419,783,530.90/19,402.56
  6. Step 6: Final answer
    x = 21,635.47

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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.