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Finding the Fourth Proportional to 12,638.60, 18,958.86 and 9,681.32

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Solution

The fourth proportional to 12,638.60, 18,958.86 and 9,681.32 is: 14,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.60 : 18,958.86 = 9,681.32 : x
  2. Step 2: Convert to fraction form
    12,638.60/18,958.86 = 9,681.32/x
  3. Step 3: Cross multiply
    12,638.60x = 18,958.86 × 9,681.32
  4. Step 4: Simplify right side
    12,638.60x = 183,546,790.50
  5. Step 5: Solve for x
    x = 183,546,790.50/12,638.60
  6. Step 6: Final answer
    x = 14,522.72

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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.