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Finding the Fourth Proportional to 14,056.52, 19,399.14 and 7,769

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Solution

The fourth proportional to 14,056.52, 19,399.14 and 7,769 is: 10,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.52 : 19,399.14 = 7,769 : x
  2. Step 2: Convert to fraction form
    14,056.52/19,399.14 = 7,769/x
  3. Step 3: Cross multiply
    14,056.52x = 19,399.14 × 7,769
  4. Step 4: Simplify right side
    14,056.52x = 150,711,918.66
  5. Step 5: Solve for x
    x = 150,711,918.66/14,056.52
  6. Step 6: Final answer
    x = 10,721.85

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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.