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Finding the Fourth Proportional to 13,607.15, 20,411.42 and 3,746.21

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Solution

The fourth proportional to 13,607.15, 20,411.42 and 3,746.21 is: 5,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.15 : 20,411.42 = 3,746.21 : x
  2. Step 2: Convert to fraction form
    13,607.15/20,411.42 = 3,746.21/x
  3. Step 3: Cross multiply
    13,607.15x = 20,411.42 × 3,746.21
  4. Step 4: Simplify right side
    13,607.15x = 76,465,344.93
  5. Step 5: Solve for x
    x = 76,465,344.93/13,607.15
  6. Step 6: Final answer
    x = 5,619.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.