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Finding the Fourth Proportional to 23,560.14, 35,356.38 and 9,709.14

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Solution

The fourth proportional to 23,560.14, 35,356.38 and 9,709.14 is: 14,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,560.14 : 35,356.38 = 9,709.14 : x
  2. Step 2: Convert to fraction form
    23,560.14/35,356.38 = 9,709.14/x
  3. Step 3: Cross multiply
    23,560.14x = 35,356.38 × 9,709.14
  4. Step 4: Simplify right side
    23,560.14x = 343,280,043.31
  5. Step 5: Solve for x
    x = 343,280,043.31/23,560.14
  6. Step 6: Final answer
    x = 14,570.37

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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.