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Finding the Fourth Proportional to 17,745.12, 24,485.58 and 10,191.78

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Solution

The fourth proportional to 17,745.12, 24,485.58 and 10,191.78 is: 14,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.12 : 24,485.58 = 10,191.78 : x
  2. Step 2: Convert to fraction form
    17,745.12/24,485.58 = 10,191.78/x
  3. Step 3: Cross multiply
    17,745.12x = 24,485.58 × 10,191.78
  4. Step 4: Simplify right side
    17,745.12x = 249,551,644.53
  5. Step 5: Solve for x
    x = 249,551,644.53/17,745.12
  6. Step 6: Final answer
    x = 14,063.11

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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.