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Finding the Fourth Proportional to 14,828.42, 20,463.02 and 8,113.95

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Solution

The fourth proportional to 14,828.42, 20,463.02 and 8,113.95 is: 11,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.42 : 20,463.02 = 8,113.95 : x
  2. Step 2: Convert to fraction form
    14,828.42/20,463.02 = 8,113.95/x
  3. Step 3: Cross multiply
    14,828.42x = 20,463.02 × 8,113.95
  4. Step 4: Simplify right side
    14,828.42x = 166,035,921.13
  5. Step 5: Solve for x
    x = 166,035,921.13/14,828.42
  6. Step 6: Final answer
    x = 11,197.14

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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.