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Finding the Fourth Proportional to 21,833.83, 30,130.68 and 11,897.83

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Solution

The fourth proportional to 21,833.83, 30,130.68 and 11,897.83 is: 16,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.83 : 30,130.68 = 11,897.83 : x
  2. Step 2: Convert to fraction form
    21,833.83/30,130.68 = 11,897.83/x
  3. Step 3: Cross multiply
    21,833.83x = 30,130.68 × 11,897.83
  4. Step 4: Simplify right side
    21,833.83x = 358,489,708.42
  5. Step 5: Solve for x
    x = 358,489,708.42/21,833.83
  6. Step 6: Final answer
    x = 16,419.00

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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.