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Finding the Fourth Proportional to 12,530.57, 17,299.50 and 10,849.32

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Solution

The fourth proportional to 12,530.57, 17,299.50 and 10,849.32 is: 14,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.57 : 17,299.50 = 10,849.32 : x
  2. Step 2: Convert to fraction form
    12,530.57/17,299.50 = 10,849.32/x
  3. Step 3: Cross multiply
    12,530.57x = 17,299.50 × 10,849.32
  4. Step 4: Simplify right side
    12,530.57x = 187,687,811.34
  5. Step 5: Solve for x
    x = 187,687,811.34/12,530.57
  6. Step 6: Final answer
    x = 14,978.39

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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.