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Finding the Fourth Proportional to 29,116.52, 43,682.14 and 12,468.20

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Solution

The fourth proportional to 29,116.52, 43,682.14 and 12,468.20 is: 18,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,116.52 : 43,682.14 = 12,468.20 : x
  2. Step 2: Convert to fraction form
    29,116.52/43,682.14 = 12,468.20/x
  3. Step 3: Cross multiply
    29,116.52x = 43,682.14 × 12,468.20
  4. Step 4: Simplify right side
    29,116.52x = 544,637,657.95
  5. Step 5: Solve for x
    x = 544,637,657.95/29,116.52
  6. Step 6: Final answer
    x = 18,705.45

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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.