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Finding the Fourth Proportional to 12,071.17, 16,658.91 and 6,767.68

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Solution

The fourth proportional to 12,071.17, 16,658.91 and 6,767.68 is: 9,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.17 : 16,658.91 = 6,767.68 : x
  2. Step 2: Convert to fraction form
    12,071.17/16,658.91 = 6,767.68/x
  3. Step 3: Cross multiply
    12,071.17x = 16,658.91 × 6,767.68
  4. Step 4: Simplify right side
    12,071.17x = 112,742,172.03
  5. Step 5: Solve for x
    x = 112,742,172.03/12,071.17
  6. Step 6: Final answer
    x = 9,339.79

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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.