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Finding the Fourth Proportional to 14,074.19, 21,114 and 4,212.62

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Solution

The fourth proportional to 14,074.19, 21,114 and 4,212.62 is: 6,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.19 : 21,114 = 4,212.62 : x
  2. Step 2: Convert to fraction form
    14,074.19/21,114 = 4,212.62/x
  3. Step 3: Cross multiply
    14,074.19x = 21,114 × 4,212.62
  4. Step 4: Simplify right side
    14,074.19x = 88,945,153.11
  5. Step 5: Solve for x
    x = 88,945,153.11/14,074.19
  6. Step 6: Final answer
    x = 6,319.74

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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.