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Finding the Fourth Proportional to 14,185.53, 19,574.60 and 8,219.12

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Solution

The fourth proportional to 14,185.53, 19,574.60 and 8,219.12 is: 11,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.53 : 19,574.60 = 8,219.12 : x
  2. Step 2: Convert to fraction form
    14,185.53/19,574.60 = 8,219.12/x
  3. Step 3: Cross multiply
    14,185.53x = 19,574.60 × 8,219.12
  4. Step 4: Simplify right side
    14,185.53x = 160,885,847.38
  5. Step 5: Solve for x
    x = 160,885,847.38/14,185.53
  6. Step 6: Final answer
    x = 11,341.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.