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Finding the Fourth Proportional to 14,021.50, 19,349.91 and 9,062.14

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Solution

The fourth proportional to 14,021.50, 19,349.91 and 9,062.14 is: 12,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.50 : 19,349.91 = 9,062.14 : x
  2. Step 2: Convert to fraction form
    14,021.50/19,349.91 = 9,062.14/x
  3. Step 3: Cross multiply
    14,021.50x = 19,349.91 × 9,062.14
  4. Step 4: Simplify right side
    14,021.50x = 175,351,593.41
  5. Step 5: Solve for x
    x = 175,351,593.41/14,021.50
  6. Step 6: Final answer
    x = 12,505.91

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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.