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Finding the Fourth Proportional to 12,242.34, 16,895.79 and 7,462.53

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Solution

The fourth proportional to 12,242.34, 16,895.79 and 7,462.53 is: 10,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.34 : 16,895.79 = 7,462.53 : x
  2. Step 2: Convert to fraction form
    12,242.34/16,895.79 = 7,462.53/x
  3. Step 3: Cross multiply
    12,242.34x = 16,895.79 × 7,462.53
  4. Step 4: Simplify right side
    12,242.34x = 126,085,339.75
  5. Step 5: Solve for x
    x = 126,085,339.75/12,242.34
  6. Step 6: Final answer
    x = 10,299.12

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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.