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Finding the Fourth Proportional to 12,532.14, 17,254.90 and 10,639.98

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Solution

The fourth proportional to 12,532.14, 17,254.90 and 10,639.98 is: 14,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.14 : 17,254.90 = 10,639.98 : x
  2. Step 2: Convert to fraction form
    12,532.14/17,254.90 = 10,639.98/x
  3. Step 3: Cross multiply
    12,532.14x = 17,254.90 × 10,639.98
  4. Step 4: Simplify right side
    12,532.14x = 183,591,651.43
  5. Step 5: Solve for x
    x = 183,591,651.43/12,532.14
  6. Step 6: Final answer
    x = 14,649.67

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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.