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Finding the Fourth Proportional to 13,770.32, 19,003.12 and 7,482.80

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Solution

The fourth proportional to 13,770.32, 19,003.12 and 7,482.80 is: 10,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.32 : 19,003.12 = 7,482.80 : x
  2. Step 2: Convert to fraction form
    13,770.32/19,003.12 = 7,482.80/x
  3. Step 3: Cross multiply
    13,770.32x = 19,003.12 × 7,482.80
  4. Step 4: Simplify right side
    13,770.32x = 142,196,546.34
  5. Step 5: Solve for x
    x = 142,196,546.34/13,770.32
  6. Step 6: Final answer
    x = 10,326.31

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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.