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Finding the Fourth Proportional to 13,405.92, 20,102.40 and 4,637.76

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Solution

The fourth proportional to 13,405.92, 20,102.40 and 4,637.76 is: 6,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.92 : 20,102.40 = 4,637.76 : x
  2. Step 2: Convert to fraction form
    13,405.92/20,102.40 = 4,637.76/x
  3. Step 3: Cross multiply
    13,405.92x = 20,102.40 × 4,637.76
  4. Step 4: Simplify right side
    13,405.92x = 93,230,106.62
  5. Step 5: Solve for x
    x = 93,230,106.62/13,405.92
  6. Step 6: Final answer
    x = 6,954.40

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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.