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Finding the Fourth Proportional to 14,951.69, 22,427.54 and 6,176.96

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Solution

The fourth proportional to 14,951.69, 22,427.54 and 6,176.96 is: 9,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.69 : 22,427.54 = 6,176.96 : x
  2. Step 2: Convert to fraction form
    14,951.69/22,427.54 = 6,176.96/x
  3. Step 3: Cross multiply
    14,951.69x = 22,427.54 × 6,176.96
  4. Step 4: Simplify right side
    14,951.69x = 138,534,017.48
  5. Step 5: Solve for x
    x = 138,534,017.48/14,951.69
  6. Step 6: Final answer
    x = 9,265.44

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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.