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Finding the Fourth Proportional to 35,474.84, 53,212.26 and 9,182.24

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Solution

The fourth proportional to 35,474.84, 53,212.26 and 9,182.24 is: 13,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,474.84 : 53,212.26 = 9,182.24 : x
  2. Step 2: Convert to fraction form
    35,474.84/53,212.26 = 9,182.24/x
  3. Step 3: Cross multiply
    35,474.84x = 53,212.26 × 9,182.24
  4. Step 4: Simplify right side
    35,474.84x = 488,607,742.26
  5. Step 5: Solve for x
    x = 488,607,742.26/35,474.84
  6. Step 6: Final answer
    x = 13,773.36

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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.