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Finding the Fourth Proportional to 25,838.16, 35,658.40 and 17,354.44

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Solution

The fourth proportional to 25,838.16, 35,658.40 and 17,354.44 is: 23,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.16 : 35,658.40 = 17,354.44 : x
  2. Step 2: Convert to fraction form
    25,838.16/35,658.40 = 17,354.44/x
  3. Step 3: Cross multiply
    25,838.16x = 35,658.40 × 17,354.44
  4. Step 4: Simplify right side
    25,838.16x = 618,831,563.30
  5. Step 5: Solve for x
    x = 618,831,563.30/25,838.16
  6. Step 6: Final answer
    x = 23,950.30

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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.