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Finding the Fourth Proportional to 13,105.96, 19,662.18 and 4,341.76

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Solution

The fourth proportional to 13,105.96, 19,662.18 and 4,341.76 is: 6,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.96 : 19,662.18 = 4,341.76 : x
  2. Step 2: Convert to fraction form
    13,105.96/19,662.18 = 4,341.76/x
  3. Step 3: Cross multiply
    13,105.96x = 19,662.18 × 4,341.76
  4. Step 4: Simplify right side
    13,105.96x = 85,368,417.48
  5. Step 5: Solve for x
    x = 85,368,417.48/13,105.96
  6. Step 6: Final answer
    x = 6,513.71

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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.