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Finding the Fourth Proportional to 13,607.84, 20,411.80 and 4,380.32

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Solution

The fourth proportional to 13,607.84, 20,411.80 and 4,380.32 is: 6,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.84 : 20,411.80 = 4,380.32 : x
  2. Step 2: Convert to fraction form
    13,607.84/20,411.80 = 4,380.32/x
  3. Step 3: Cross multiply
    13,607.84x = 20,411.80 × 4,380.32
  4. Step 4: Simplify right side
    13,607.84x = 89,410,215.78
  5. Step 5: Solve for x
    x = 89,410,215.78/13,607.84
  6. Step 6: Final answer
    x = 6,570.49

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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.