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Finding the Fourth Proportional to 14,856.72, 22,299 and 7,841.94

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Solution

The fourth proportional to 14,856.72, 22,299 and 7,841.94 is: 11,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.72 : 22,299 = 7,841.94 : x
  2. Step 2: Convert to fraction form
    14,856.72/22,299 = 7,841.94/x
  3. Step 3: Cross multiply
    14,856.72x = 22,299 × 7,841.94
  4. Step 4: Simplify right side
    14,856.72x = 174,867,420.06
  5. Step 5: Solve for x
    x = 174,867,420.06/14,856.72
  6. Step 6: Final answer
    x = 11,770.26

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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.