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Finding the Fourth Proportional to 14,272.34, 19,696.74 and 7,984.76

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Solution

The fourth proportional to 14,272.34, 19,696.74 and 7,984.76 is: 11,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272.34 : 19,696.74 = 7,984.76 : x
  2. Step 2: Convert to fraction form
    14,272.34/19,696.74 = 7,984.76/x
  3. Step 3: Cross multiply
    14,272.34x = 19,696.74 × 7,984.76
  4. Step 4: Simplify right side
    14,272.34x = 157,273,741.68
  5. Step 5: Solve for x
    x = 157,273,741.68/14,272.34
  6. Step 6: Final answer
    x = 11,019.48

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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.