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Finding the Fourth Proportional to 15,122.96, 20,867.82 and 9,157.40

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Solution

The fourth proportional to 15,122.96, 20,867.82 and 9,157.40 is: 12,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.96 : 20,867.82 = 9,157.40 : x
  2. Step 2: Convert to fraction form
    15,122.96/20,867.82 = 9,157.40/x
  3. Step 3: Cross multiply
    15,122.96x = 20,867.82 × 9,157.40
  4. Step 4: Simplify right side
    15,122.96x = 191,094,974.87
  5. Step 5: Solve for x
    x = 191,094,974.87/15,122.96
  6. Step 6: Final answer
    x = 12,636.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.