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Finding the Fourth Proportional to 13,340.16, 19,987.20 and 9,832.32

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Solution

The fourth proportional to 13,340.16, 19,987.20 and 9,832.32 is: 14,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,340.16 : 19,987.20 = 9,832.32 : x
  2. Step 2: Convert to fraction form
    13,340.16/19,987.20 = 9,832.32/x
  3. Step 3: Cross multiply
    13,340.16x = 19,987.20 × 9,832.32
  4. Step 4: Simplify right side
    13,340.16x = 196,520,546.30
  5. Step 5: Solve for x
    x = 196,520,546.30/13,340.16
  6. Step 6: Final answer
    x = 14,731.50

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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.