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Finding the Fourth Proportional to 10,298.81, 14,222.44 and 8,797.98

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Solution

The fourth proportional to 10,298.81, 14,222.44 and 8,797.98 is: 12,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.81 : 14,222.44 = 8,797.98 : x
  2. Step 2: Convert to fraction form
    10,298.81/14,222.44 = 8,797.98/x
  3. Step 3: Cross multiply
    10,298.81x = 14,222.44 × 8,797.98
  4. Step 4: Simplify right side
    10,298.81x = 125,128,742.67
  5. Step 5: Solve for x
    x = 125,128,742.67/10,298.81
  6. Step 6: Final answer
    x = 12,149.83

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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.