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Finding the Fourth Proportional to 23,071.72, 34,603.80 and 8,277.88

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Solution

The fourth proportional to 23,071.72, 34,603.80 and 8,277.88 is: 12,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071.72 : 34,603.80 = 8,277.88 : x
  2. Step 2: Convert to fraction form
    23,071.72/34,603.80 = 8,277.88/x
  3. Step 3: Cross multiply
    23,071.72x = 34,603.80 × 8,277.88
  4. Step 4: Simplify right side
    23,071.72x = 286,446,103.94
  5. Step 5: Solve for x
    x = 286,446,103.94/23,071.72
  6. Step 6: Final answer
    x = 12,415.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.