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Finding the Fourth Proportional to 13,770.63, 19,002.69 and 7,482.96

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Solution

The fourth proportional to 13,770.63, 19,002.69 and 7,482.96 is: 10,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.63 : 19,002.69 = 7,482.96 : x
  2. Step 2: Convert to fraction form
    13,770.63/19,002.69 = 7,482.96/x
  3. Step 3: Cross multiply
    13,770.63x = 19,002.69 × 7,482.96
  4. Step 4: Simplify right side
    13,770.63x = 142,196,369.16
  5. Step 5: Solve for x
    x = 142,196,369.16/13,770.63
  6. Step 6: Final answer
    x = 10,326.06

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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.