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Finding the Fourth Proportional to 12,846.46, 17,716.59 and 10,700.13

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Solution

The fourth proportional to 12,846.46, 17,716.59 and 10,700.13 is: 14,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.46 : 17,716.59 = 10,700.13 : x
  2. Step 2: Convert to fraction form
    12,846.46/17,716.59 = 10,700.13/x
  3. Step 3: Cross multiply
    12,846.46x = 17,716.59 × 10,700.13
  4. Step 4: Simplify right side
    12,846.46x = 189,569,922.72
  5. Step 5: Solve for x
    x = 189,569,922.72/12,846.46
  6. Step 6: Final answer
    x = 14,756.59

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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.