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Finding the Fourth Proportional to 20,709.41, 28,575 and 13,156.97

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Solution

The fourth proportional to 20,709.41, 28,575 and 13,156.97 is: 18,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.41 : 28,575 = 13,156.97 : x
  2. Step 2: Convert to fraction form
    20,709.41/28,575 = 13,156.97/x
  3. Step 3: Cross multiply
    20,709.41x = 28,575 × 13,156.97
  4. Step 4: Simplify right side
    20,709.41x = 375,960,274.88
  5. Step 5: Solve for x
    x = 375,960,274.88/20,709.41
  6. Step 6: Final answer
    x = 18,154.08

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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.