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Finding the Fourth Proportional to 13,158, 19,732.20 and 4,390.32

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Solution

The fourth proportional to 13,158, 19,732.20 and 4,390.32 is: 6,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158 : 19,732.20 = 4,390.32 : x
  2. Step 2: Convert to fraction form
    13,158/19,732.20 = 4,390.32/x
  3. Step 3: Cross multiply
    13,158x = 19,732.20 × 4,390.32
  4. Step 4: Simplify right side
    13,158x = 86,630,672.30
  5. Step 5: Solve for x
    x = 86,630,672.30/13,158
  6. Step 6: Final answer
    x = 6,583.88

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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.