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Finding the Fourth Proportional to 14,065.65, 21,101.21 and 4,204.71

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Solution

The fourth proportional to 14,065.65, 21,101.21 and 4,204.71 is: 6,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.65 : 21,101.21 = 4,204.71 : x
  2. Step 2: Convert to fraction form
    14,065.65/21,101.21 = 4,204.71/x
  3. Step 3: Cross multiply
    14,065.65x = 21,101.21 × 4,204.71
  4. Step 4: Simplify right side
    14,065.65x = 88,724,463.44
  5. Step 5: Solve for x
    x = 88,724,463.44/14,065.65
  6. Step 6: Final answer
    x = 6,307.88

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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.