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Finding the Fourth Proportional to 35,466.84, 53,200.26 and 9,174.24

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Solution

The fourth proportional to 35,466.84, 53,200.26 and 9,174.24 is: 13,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,466.84 : 53,200.26 = 9,174.24 : x
  2. Step 2: Convert to fraction form
    35,466.84/53,200.26 = 9,174.24/x
  3. Step 3: Cross multiply
    35,466.84x = 53,200.26 × 9,174.24
  4. Step 4: Simplify right side
    35,466.84x = 488,071,953.30
  5. Step 5: Solve for x
    x = 488,071,953.30/35,466.84
  6. Step 6: Final answer
    x = 13,761.36

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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.