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Finding the Fourth Proportional to 25,602.64, 35,346.78 and 22,762.16

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Solution

The fourth proportional to 25,602.64, 35,346.78 and 22,762.16 is: 31,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.64 : 35,346.78 = 22,762.16 : x
  2. Step 2: Convert to fraction form
    25,602.64/35,346.78 = 22,762.16/x
  3. Step 3: Cross multiply
    25,602.64x = 35,346.78 × 22,762.16
  4. Step 4: Simplify right side
    25,602.64x = 804,568,942.02
  5. Step 5: Solve for x
    x = 804,568,942.02/25,602.64
  6. Step 6: Final answer
    x = 31,425.23

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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.