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Finding the Fourth Proportional to 14,213.95, 19,614.33 and 7,840.59

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Solution

The fourth proportional to 14,213.95, 19,614.33 and 7,840.59 is: 10,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.95 : 19,614.33 = 7,840.59 : x
  2. Step 2: Convert to fraction form
    14,213.95/19,614.33 = 7,840.59/x
  3. Step 3: Cross multiply
    14,213.95x = 19,614.33 × 7,840.59
  4. Step 4: Simplify right side
    14,213.95x = 153,787,919.65
  5. Step 5: Solve for x
    x = 153,787,919.65/14,213.95
  6. Step 6: Final answer
    x = 10,819.51

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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.