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Finding the Fourth Proportional to 14,074.70, 19,420.71 and 8,771.18

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Solution

The fourth proportional to 14,074.70, 19,420.71 and 8,771.18 is: 12,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.70 : 19,420.71 = 8,771.18 : x
  2. Step 2: Convert to fraction form
    14,074.70/19,420.71 = 8,771.18/x
  3. Step 3: Cross multiply
    14,074.70x = 19,420.71 × 8,771.18
  4. Step 4: Simplify right side
    14,074.70x = 170,342,543.14
  5. Step 5: Solve for x
    x = 170,342,543.14/14,074.70
  6. Step 6: Final answer
    x = 12,102.75

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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.