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Finding the Fourth Proportional to 14,523.42, 21,778.50 and 7,507.46

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Solution

The fourth proportional to 14,523.42, 21,778.50 and 7,507.46 is: 11,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.42 : 21,778.50 = 7,507.46 : x
  2. Step 2: Convert to fraction form
    14,523.42/21,778.50 = 7,507.46/x
  3. Step 3: Cross multiply
    14,523.42x = 21,778.50 × 7,507.46
  4. Step 4: Simplify right side
    14,523.42x = 163,501,217.61
  5. Step 5: Solve for x
    x = 163,501,217.61/14,523.42
  6. Step 6: Final answer
    x = 11,257.76

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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.