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Finding the Fourth Proportional to 14,840, 22,255.44 and 9,773.96

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Solution

The fourth proportional to 14,840, 22,255.44 and 9,773.96 is: 14,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840 : 22,255.44 = 9,773.96 : x
  2. Step 2: Convert to fraction form
    14,840/22,255.44 = 9,773.96/x
  3. Step 3: Cross multiply
    14,840x = 22,255.44 × 9,773.96
  4. Step 4: Simplify right side
    14,840x = 217,523,780.34
  5. Step 5: Solve for x
    x = 217,523,780.34/14,840
  6. Step 6: Final answer
    x = 14,657.94

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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.