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Finding the Fourth Proportional to 13,100, 19,653.66 and 4,341.08

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Solution

The fourth proportional to 13,100, 19,653.66 and 4,341.08 is: 6,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100 : 19,653.66 = 4,341.08 : x
  2. Step 2: Convert to fraction form
    13,100/19,653.66 = 4,341.08/x
  3. Step 3: Cross multiply
    13,100x = 19,653.66 × 4,341.08
  4. Step 4: Simplify right side
    13,100x = 85,318,110.35
  5. Step 5: Solve for x
    x = 85,318,110.35/13,100
  6. Step 6: Final answer
    x = 6,512.83

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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.