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Finding the Fourth Proportional to 15,712.46, 23,536.85 and 7,266.96

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Solution

The fourth proportional to 15,712.46, 23,536.85 and 7,266.96 is: 10,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.46 : 23,536.85 = 7,266.96 : x
  2. Step 2: Convert to fraction form
    15,712.46/23,536.85 = 7,266.96/x
  3. Step 3: Cross multiply
    15,712.46x = 23,536.85 × 7,266.96
  4. Step 4: Simplify right side
    15,712.46x = 171,041,365.64
  5. Step 5: Solve for x
    x = 171,041,365.64/15,712.46
  6. Step 6: Final answer
    x = 10,885.72

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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.