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Finding the Fourth Proportional to 13,468.64, 20,202.93 and 3,607.67

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Solution

The fourth proportional to 13,468.64, 20,202.93 and 3,607.67 is: 5,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.64 : 20,202.93 = 3,607.67 : x
  2. Step 2: Convert to fraction form
    13,468.64/20,202.93 = 3,607.67/x
  3. Step 3: Cross multiply
    13,468.64x = 20,202.93 × 3,607.67
  4. Step 4: Simplify right side
    13,468.64x = 72,885,403.46
  5. Step 5: Solve for x
    x = 72,885,403.46/13,468.64
  6. Step 6: Final answer
    x = 5,411.49

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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.