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Finding the Fourth Proportional to 21,835, 30,132.42 and 11,899

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Solution

The fourth proportional to 21,835, 30,132.42 and 11,899 is: 16,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,835 : 30,132.42 = 11,899 : x
  2. Step 2: Convert to fraction form
    21,835/30,132.42 = 11,899/x
  3. Step 3: Cross multiply
    21,835x = 30,132.42 × 11,899
  4. Step 4: Simplify right side
    21,835x = 358,545,665.58
  5. Step 5: Solve for x
    x = 358,545,665.58/21,835
  6. Step 6: Final answer
    x = 16,420.69

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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.