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Finding the Fourth Proportional to 14,221.46, 21,343.07 and 6,435.74

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Solution

The fourth proportional to 14,221.46, 21,343.07 and 6,435.74 is: 9,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.46 : 21,343.07 = 6,435.74 : x
  2. Step 2: Convert to fraction form
    14,221.46/21,343.07 = 6,435.74/x
  3. Step 3: Cross multiply
    14,221.46x = 21,343.07 × 6,435.74
  4. Step 4: Simplify right side
    14,221.46x = 137,358,358.70
  5. Step 5: Solve for x
    x = 137,358,358.70/14,221.46
  6. Step 6: Final answer
    x = 9,658.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.