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Finding the Fourth Proportional to 35,705.54, 53,562.97 and 13,213.16

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Solution

The fourth proportional to 35,705.54, 53,562.97 and 13,213.16 is: 19,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.54 : 53,562.97 = 13,213.16 : x
  2. Step 2: Convert to fraction form
    35,705.54/53,562.97 = 13,213.16/x
  3. Step 3: Cross multiply
    35,705.54x = 53,562.97 × 13,213.16
  4. Step 4: Simplify right side
    35,705.54x = 707,735,758.80
  5. Step 5: Solve for x
    x = 707,735,758.80/35,705.54
  6. Step 6: Final answer
    x = 19,821.46

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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.