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Finding the Fourth Proportional to 25,750.34, 35,522.93 and 16,202.06

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Solution

The fourth proportional to 25,750.34, 35,522.93 and 16,202.06 is: 22,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750.34 : 35,522.93 = 16,202.06 : x
  2. Step 2: Convert to fraction form
    25,750.34/35,522.93 = 16,202.06/x
  3. Step 3: Cross multiply
    25,750.34x = 35,522.93 × 16,202.06
  4. Step 4: Simplify right side
    25,750.34x = 575,544,562.23
  5. Step 5: Solve for x
    x = 575,544,562.23/25,750.34
  6. Step 6: Final answer
    x = 22,350.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.