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Finding the Fourth Proportional to 14,284.96, 19,706.64 and 9,250.81

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Solution

The fourth proportional to 14,284.96, 19,706.64 and 9,250.81 is: 12,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.96 : 19,706.64 = 9,250.81 : x
  2. Step 2: Convert to fraction form
    14,284.96/19,706.64 = 9,250.81/x
  3. Step 3: Cross multiply
    14,284.96x = 19,706.64 × 9,250.81
  4. Step 4: Simplify right side
    14,284.96x = 182,302,382.38
  5. Step 5: Solve for x
    x = 182,302,382.38/14,284.96
  6. Step 6: Final answer
    x = 12,761.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.