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Finding the Fourth Proportional to 21,233.52, 31,857.12 and 6,444

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Solution

The fourth proportional to 21,233.52, 31,857.12 and 6,444 is: 9,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.52 : 31,857.12 = 6,444 : x
  2. Step 2: Convert to fraction form
    21,233.52/31,857.12 = 6,444/x
  3. Step 3: Cross multiply
    21,233.52x = 31,857.12 × 6,444
  4. Step 4: Simplify right side
    21,233.52x = 205,287,281.28
  5. Step 5: Solve for x
    x = 205,287,281.28/21,233.52
  6. Step 6: Final answer
    x = 9,668.08

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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.