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Finding the Fourth Proportional to 17,705.12, 24,432.13 and 9,745.82

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Solution

The fourth proportional to 17,705.12, 24,432.13 and 9,745.82 is: 13,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.12 : 24,432.13 = 9,745.82 : x
  2. Step 2: Convert to fraction form
    17,705.12/24,432.13 = 9,745.82/x
  3. Step 3: Cross multiply
    17,705.12x = 24,432.13 × 9,745.82
  4. Step 4: Simplify right side
    17,705.12x = 238,111,122.84
  5. Step 5: Solve for x
    x = 238,111,122.84/17,705.12
  6. Step 6: Final answer
    x = 13,448.72

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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.