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Finding the Fourth Proportional to 13,770.46, 19,003.18 and 7,803.26

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Solution

The fourth proportional to 13,770.46, 19,003.18 and 7,803.26 is: 10,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.46 : 19,003.18 = 7,803.26 : x
  2. Step 2: Convert to fraction form
    13,770.46/19,003.18 = 7,803.26/x
  3. Step 3: Cross multiply
    13,770.46x = 19,003.18 × 7,803.26
  4. Step 4: Simplify right side
    13,770.46x = 148,286,801.13
  5. Step 5: Solve for x
    x = 148,286,801.13/13,770.46
  6. Step 6: Final answer
    x = 10,768.47

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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.