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Finding the Fourth Proportional to 30,697.63, 42,365.19 and 17,268.08

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Solution

The fourth proportional to 30,697.63, 42,365.19 and 17,268.08 is: 23,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.63 : 42,365.19 = 17,268.08 : x
  2. Step 2: Convert to fraction form
    30,697.63/42,365.19 = 17,268.08/x
  3. Step 3: Cross multiply
    30,697.63x = 42,365.19 × 17,268.08
  4. Step 4: Simplify right side
    30,697.63x = 731,565,499.92
  5. Step 5: Solve for x
    x = 731,565,499.92/30,697.63
  6. Step 6: Final answer
    x = 23,831.34

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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.