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Finding the Fourth Proportional to 21,071.82, 29,078.34 and 11,511.74

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Solution

The fourth proportional to 21,071.82, 29,078.34 and 11,511.74 is: 15,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.82 : 29,078.34 = 11,511.74 : x
  2. Step 2: Convert to fraction form
    21,071.82/29,078.34 = 11,511.74/x
  3. Step 3: Cross multiply
    21,071.82x = 29,078.34 × 11,511.74
  4. Step 4: Simplify right side
    21,071.82x = 334,742,289.71
  5. Step 5: Solve for x
    x = 334,742,289.71/21,071.82
  6. Step 6: Final answer
    x = 15,885.78

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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.