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Finding the Fourth Proportional to 12,385.70, 18,564.58 and 6,150.17

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Solution

The fourth proportional to 12,385.70, 18,564.58 and 6,150.17 is: 9,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.70 : 18,564.58 = 6,150.17 : x
  2. Step 2: Convert to fraction form
    12,385.70/18,564.58 = 6,150.17/x
  3. Step 3: Cross multiply
    12,385.70x = 18,564.58 × 6,150.17
  4. Step 4: Simplify right side
    12,385.70x = 114,175,199.40
  5. Step 5: Solve for x
    x = 114,175,199.40/12,385.70
  6. Step 6: Final answer
    x = 9,218.31

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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.