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Finding the Fourth Proportional to 14,448.14, 19,938.14 and 8,074.80

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Solution

The fourth proportional to 14,448.14, 19,938.14 and 8,074.80 is: 11,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.14 : 19,938.14 = 8,074.80 : x
  2. Step 2: Convert to fraction form
    14,448.14/19,938.14 = 8,074.80/x
  3. Step 3: Cross multiply
    14,448.14x = 19,938.14 × 8,074.80
  4. Step 4: Simplify right side
    14,448.14x = 160,996,492.87
  5. Step 5: Solve for x
    x = 160,996,492.87/14,448.14
  6. Step 6: Final answer
    x = 11,143.06

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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.