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Finding the Fourth Proportional to 14,056.11, 19,398.65 and 7,769.70

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Solution

The fourth proportional to 14,056.11, 19,398.65 and 7,769.70 is: 10,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.11 : 19,398.65 = 7,769.70 : x
  2. Step 2: Convert to fraction form
    14,056.11/19,398.65 = 7,769.70/x
  3. Step 3: Cross multiply
    14,056.11x = 19,398.65 × 7,769.70
  4. Step 4: Simplify right side
    14,056.11x = 150,721,690.91
  5. Step 5: Solve for x
    x = 150,721,690.91/14,056.11
  6. Step 6: Final answer
    x = 10,722.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.