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Finding the Fourth Proportional to 21,833.96, 30,130.85 and 11,897.96

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Solution

The fourth proportional to 21,833.96, 30,130.85 and 11,897.96 is: 16,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.96 : 30,130.85 = 11,897.96 : x
  2. Step 2: Convert to fraction form
    21,833.96/30,130.85 = 11,897.96/x
  3. Step 3: Cross multiply
    21,833.96x = 30,130.85 × 11,897.96
  4. Step 4: Simplify right side
    21,833.96x = 358,495,527.16
  5. Step 5: Solve for x
    x = 358,495,527.16/21,833.96
  6. Step 6: Final answer
    x = 16,419.17

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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.