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Finding the Fourth Proportional to 29,924, 44,887.80 and 9,147.68

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Solution

The fourth proportional to 29,924, 44,887.80 and 9,147.68 is: 13,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924 : 44,887.80 = 9,147.68 : x
  2. Step 2: Convert to fraction form
    29,924/44,887.80 = 9,147.68/x
  3. Step 3: Cross multiply
    29,924x = 44,887.80 × 9,147.68
  4. Step 4: Simplify right side
    29,924x = 410,619,230.30
  5. Step 5: Solve for x
    x = 410,619,230.30/29,924
  6. Step 6: Final answer
    x = 13,722.07

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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.