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Finding the Fourth Proportional to 13,402.87, 20,104.07 and 4,637.66

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Solution

The fourth proportional to 13,402.87, 20,104.07 and 4,637.66 is: 6,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.87 : 20,104.07 = 4,637.66 : x
  2. Step 2: Convert to fraction form
    13,402.87/20,104.07 = 4,637.66/x
  3. Step 3: Cross multiply
    13,402.87x = 20,104.07 × 4,637.66
  4. Step 4: Simplify right side
    13,402.87x = 93,235,717.57
  5. Step 5: Solve for x
    x = 93,235,717.57/13,402.87
  6. Step 6: Final answer
    x = 6,956.40

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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.