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Finding the Fourth Proportional to 14,857.92, 22,294.13 and 6,536.89

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Solution

The fourth proportional to 14,857.92, 22,294.13 and 6,536.89 is: 9,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.92 : 22,294.13 = 6,536.89 : x
  2. Step 2: Convert to fraction form
    14,857.92/22,294.13 = 6,536.89/x
  3. Step 3: Cross multiply
    14,857.92x = 22,294.13 × 6,536.89
  4. Step 4: Simplify right side
    14,857.92x = 145,734,259.11
  5. Step 5: Solve for x
    x = 145,734,259.11/14,857.92
  6. Step 6: Final answer
    x = 9,808.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.