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Finding the Fourth Proportional to 13,772.24, 19,005.84 and 7,803.80

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Solution

The fourth proportional to 13,772.24, 19,005.84 and 7,803.80 is: 10,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.24 : 19,005.84 = 7,803.80 : x
  2. Step 2: Convert to fraction form
    13,772.24/19,005.84 = 7,803.80/x
  3. Step 3: Cross multiply
    13,772.24x = 19,005.84 × 7,803.80
  4. Step 4: Simplify right side
    13,772.24x = 148,317,774.19
  5. Step 5: Solve for x
    x = 148,317,774.19/13,772.24
  6. Step 6: Final answer
    x = 10,769.33

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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.