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Finding the Fourth Proportional to 14,284.99, 19,706.74 and 9,250.83

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Solution

The fourth proportional to 14,284.99, 19,706.74 and 9,250.83 is: 12,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.99 : 19,706.74 = 9,250.83 : x
  2. Step 2: Convert to fraction form
    14,284.99/19,706.74 = 9,250.83/x
  3. Step 3: Cross multiply
    14,284.99x = 19,706.74 × 9,250.83
  4. Step 4: Simplify right side
    14,284.99x = 182,303,750.86
  5. Step 5: Solve for x
    x = 182,303,750.86/14,284.99
  6. Step 6: Final answer
    x = 12,761.91

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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.