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Finding the Fourth Proportional to 12,745.32, 19,117.41 and 6,505.17

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Solution

The fourth proportional to 12,745.32, 19,117.41 and 6,505.17 is: 9,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.32 : 19,117.41 = 6,505.17 : x
  2. Step 2: Convert to fraction form
    12,745.32/19,117.41 = 6,505.17/x
  3. Step 3: Cross multiply
    12,745.32x = 19,117.41 × 6,505.17
  4. Step 4: Simplify right side
    12,745.32x = 124,362,002.01
  5. Step 5: Solve for x
    x = 124,362,002.01/12,745.32
  6. Step 6: Final answer
    x = 9,757.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.