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Finding the Fourth Proportional to 14,222.56, 19,627 and 7,849.21

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Solution

The fourth proportional to 14,222.56, 19,627 and 7,849.21 is: 10,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.56 : 19,627 = 7,849.21 : x
  2. Step 2: Convert to fraction form
    14,222.56/19,627 = 7,849.21/x
  3. Step 3: Cross multiply
    14,222.56x = 19,627 × 7,849.21
  4. Step 4: Simplify right side
    14,222.56x = 154,056,444.67
  5. Step 5: Solve for x
    x = 154,056,444.67/14,222.56
  6. Step 6: Final answer
    x = 10,831.84

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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.