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Finding the Fourth Proportional to 14,272.24, 19,695.66 and 7,984.61

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Solution

The fourth proportional to 14,272.24, 19,695.66 and 7,984.61 is: 11,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272.24 : 19,695.66 = 7,984.61 : x
  2. Step 2: Convert to fraction form
    14,272.24/19,695.66 = 7,984.61/x
  3. Step 3: Cross multiply
    14,272.24x = 19,695.66 × 7,984.61
  4. Step 4: Simplify right side
    14,272.24x = 157,262,213.03
  5. Step 5: Solve for x
    x = 157,262,213.03/14,272.24
  6. Step 6: Final answer
    x = 11,018.75

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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.