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Finding the Fourth Proportional to 23,897.31, 35,741.07 and 21,283.17

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Solution

The fourth proportional to 23,897.31, 35,741.07 and 21,283.17 is: 31,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.31 : 35,741.07 = 21,283.17 : x
  2. Step 2: Convert to fraction form
    23,897.31/35,741.07 = 21,283.17/x
  3. Step 3: Cross multiply
    23,897.31x = 35,741.07 × 21,283.17
  4. Step 4: Simplify right side
    23,897.31x = 760,683,268.79
  5. Step 5: Solve for x
    x = 760,683,268.79/23,897.31
  6. Step 6: Final answer
    x = 31,831.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.