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Finding the Fourth Proportional to 25,841.98, 35,642.42 and 22,263

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Solution

The fourth proportional to 25,841.98, 35,642.42 and 22,263 is: 30,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.98 : 35,642.42 = 22,263 : x
  2. Step 2: Convert to fraction form
    25,841.98/35,642.42 = 22,263/x
  3. Step 3: Cross multiply
    25,841.98x = 35,642.42 × 22,263
  4. Step 4: Simplify right side
    25,841.98x = 793,507,196.46
  5. Step 5: Solve for x
    x = 793,507,196.46/25,841.98
  6. Step 6: Final answer
    x = 30,706.13

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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.