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Finding the Fourth Proportional to 14,774.17, 22,109.19 and 9,230.14

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Solution

The fourth proportional to 14,774.17, 22,109.19 and 9,230.14 is: 13,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.17 : 22,109.19 = 9,230.14 : x
  2. Step 2: Convert to fraction form
    14,774.17/22,109.19 = 9,230.14/x
  3. Step 3: Cross multiply
    14,774.17x = 22,109.19 × 9,230.14
  4. Step 4: Simplify right side
    14,774.17x = 204,070,918.99
  5. Step 5: Solve for x
    x = 204,070,918.99/14,774.17
  6. Step 6: Final answer
    x = 13,812.68

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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.