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Finding the Fourth Proportional to 25,715.90, 35,486.46 and 14,230.14

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Solution

The fourth proportional to 25,715.90, 35,486.46 and 14,230.14 is: 19,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,715.90 : 35,486.46 = 14,230.14 : x
  2. Step 2: Convert to fraction form
    25,715.90/35,486.46 = 14,230.14/x
  3. Step 3: Cross multiply
    25,715.90x = 35,486.46 × 14,230.14
  4. Step 4: Simplify right side
    25,715.90x = 504,977,293.90
  5. Step 5: Solve for x
    x = 504,977,293.90/25,715.90
  6. Step 6: Final answer
    x = 19,636.77

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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.