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Finding the Fourth Proportional to 21,253.24, 31,858 and 11,897.08

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Solution

The fourth proportional to 21,253.24, 31,858 and 11,897.08 is: 17,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.24 : 31,858 = 11,897.08 : x
  2. Step 2: Convert to fraction form
    21,253.24/31,858 = 11,897.08/x
  3. Step 3: Cross multiply
    21,253.24x = 31,858 × 11,897.08
  4. Step 4: Simplify right side
    21,253.24x = 379,017,174.64
  5. Step 5: Solve for x
    x = 379,017,174.64/21,253.24
  6. Step 6: Final answer
    x = 17,833.38

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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.