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Finding the Fourth Proportional to 14,683.14, 22,039.30 and 11,431.80

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Solution

The fourth proportional to 14,683.14, 22,039.30 and 11,431.80 is: 17,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.14 : 22,039.30 = 11,431.80 : x
  2. Step 2: Convert to fraction form
    14,683.14/22,039.30 = 11,431.80/x
  3. Step 3: Cross multiply
    14,683.14x = 22,039.30 × 11,431.80
  4. Step 4: Simplify right side
    14,683.14x = 251,948,869.74
  5. Step 5: Solve for x
    x = 251,948,869.74/14,683.14
  6. Step 6: Final answer
    x = 17,159.06

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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.