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Finding the Fourth Proportional to 12,071.28, 16,642.76 and 7,814.76

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Solution

The fourth proportional to 12,071.28, 16,642.76 and 7,814.76 is: 10,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.28 : 16,642.76 = 7,814.76 : x
  2. Step 2: Convert to fraction form
    12,071.28/16,642.76 = 7,814.76/x
  3. Step 3: Cross multiply
    12,071.28x = 16,642.76 × 7,814.76
  4. Step 4: Simplify right side
    12,071.28x = 130,059,175.14
  5. Step 5: Solve for x
    x = 130,059,175.14/12,071.28
  6. Step 6: Final answer
    x = 10,774.27

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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.