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Finding the Fourth Proportional to 29,643.30, 44,468.46 and 9,917.46

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Solution

The fourth proportional to 29,643.30, 44,468.46 and 9,917.46 is: 14,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.30 : 44,468.46 = 9,917.46 : x
  2. Step 2: Convert to fraction form
    29,643.30/44,468.46 = 9,917.46/x
  3. Step 3: Cross multiply
    29,643.30x = 44,468.46 × 9,917.46
  4. Step 4: Simplify right side
    29,643.30x = 441,014,173.31
  5. Step 5: Solve for x
    x = 441,014,173.31/29,643.30
  6. Step 6: Final answer
    x = 14,877.36

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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.