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Finding the Fourth Proportional to 23,006.86, 34,511.05 and 6,365.50

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Solution

The fourth proportional to 23,006.86, 34,511.05 and 6,365.50 is: 9,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.86 : 34,511.05 = 6,365.50 : x
  2. Step 2: Convert to fraction form
    23,006.86/34,511.05 = 6,365.50/x
  3. Step 3: Cross multiply
    23,006.86x = 34,511.05 × 6,365.50
  4. Step 4: Simplify right side
    23,006.86x = 219,679,916.22
  5. Step 5: Solve for x
    x = 219,679,916.22/23,006.86
  6. Step 6: Final answer
    x = 9,548.45

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Why These Related Problems?

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