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Finding the Fourth Proportional to 14,389.14, 21,578.02 and 6,991.41

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Solution

The fourth proportional to 14,389.14, 21,578.02 and 6,991.41 is: 10,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.14 : 21,578.02 = 6,991.41 : x
  2. Step 2: Convert to fraction form
    14,389.14/21,578.02 = 6,991.41/x
  3. Step 3: Cross multiply
    14,389.14x = 21,578.02 × 6,991.41
  4. Step 4: Simplify right side
    14,389.14x = 150,860,784.81
  5. Step 5: Solve for x
    x = 150,860,784.81/14,389.14
  6. Step 6: Final answer
    x = 10,484.35

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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.