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Finding the Fourth Proportional to 25,840.98, 35,641.04 and 22,262

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Solution

The fourth proportional to 25,840.98, 35,641.04 and 22,262 is: 30,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840.98 : 35,641.04 = 22,262 : x
  2. Step 2: Convert to fraction form
    25,840.98/35,641.04 = 22,262/x
  3. Step 3: Cross multiply
    25,840.98x = 35,641.04 × 22,262
  4. Step 4: Simplify right side
    25,840.98x = 793,440,832.48
  5. Step 5: Solve for x
    x = 793,440,832.48/25,840.98
  6. Step 6: Final answer
    x = 30,704.75

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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.