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Finding the Fourth Proportional to 19,914.66, 29,864.70 and 6,763.50

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Solution

The fourth proportional to 19,914.66, 29,864.70 and 6,763.50 is: 10,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.66 : 29,864.70 = 6,763.50 : x
  2. Step 2: Convert to fraction form
    19,914.66/29,864.70 = 6,763.50/x
  3. Step 3: Cross multiply
    19,914.66x = 29,864.70 × 6,763.50
  4. Step 4: Simplify right side
    19,914.66x = 201,989,898.45
  5. Step 5: Solve for x
    x = 201,989,898.45/19,914.66
  6. Step 6: Final answer
    x = 10,142.77

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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.