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Finding the Fourth Proportional to 25,600.26, 35,314.74 and 17,646.60

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Solution

The fourth proportional to 25,600.26, 35,314.74 and 17,646.60 is: 24,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.26 : 35,314.74 = 17,646.60 : x
  2. Step 2: Convert to fraction form
    25,600.26/35,314.74 = 17,646.60/x
  3. Step 3: Cross multiply
    25,600.26x = 35,314.74 × 17,646.60
  4. Step 4: Simplify right side
    25,600.26x = 623,185,090.88
  5. Step 5: Solve for x
    x = 623,185,090.88/25,600.26
  6. Step 6: Final answer
    x = 24,342.92

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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.