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Finding the Fourth Proportional to 14,827.89, 20,462.41 and 8,113.40

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Solution

The fourth proportional to 14,827.89, 20,462.41 and 8,113.40 is: 11,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.89 : 20,462.41 = 8,113.40 : x
  2. Step 2: Convert to fraction form
    14,827.89/20,462.41 = 8,113.40/x
  3. Step 3: Cross multiply
    14,827.89x = 20,462.41 × 8,113.40
  4. Step 4: Simplify right side
    14,827.89x = 166,019,717.29
  5. Step 5: Solve for x
    x = 166,019,717.29/14,827.89
  6. Step 6: Final answer
    x = 11,196.45

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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.