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Finding the Fourth Proportional to 14,677.14, 22,015.74 and 10,314.12

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Solution

The fourth proportional to 14,677.14, 22,015.74 and 10,314.12 is: 15,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.14 : 22,015.74 = 10,314.12 : x
  2. Step 2: Convert to fraction form
    14,677.14/22,015.74 = 10,314.12/x
  3. Step 3: Cross multiply
    14,677.14x = 22,015.74 × 10,314.12
  4. Step 4: Simplify right side
    14,677.14x = 227,072,984.25
  5. Step 5: Solve for x
    x = 227,072,984.25/14,677.14
  6. Step 6: Final answer
    x = 15,471.20

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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.