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Finding the Fourth Proportional to 21,833.16, 30,129.75 and 11,897.16

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Solution

The fourth proportional to 21,833.16, 30,129.75 and 11,897.16 is: 16,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.16 : 30,129.75 = 11,897.16 : x
  2. Step 2: Convert to fraction form
    21,833.16/30,129.75 = 11,897.16/x
  3. Step 3: Cross multiply
    21,833.16x = 30,129.75 × 11,897.16
  4. Step 4: Simplify right side
    21,833.16x = 358,458,456.51
  5. Step 5: Solve for x
    x = 358,458,456.51/21,833.16
  6. Step 6: Final answer
    x = 16,418.07

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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.