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Finding the Fourth Proportional to 21,085.28, 31,623.24 and 6,089.13

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Solution

The fourth proportional to 21,085.28, 31,623.24 and 6,089.13 is: 9,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.28 : 31,623.24 = 6,089.13 : x
  2. Step 2: Convert to fraction form
    21,085.28/31,623.24 = 6,089.13/x
  3. Step 3: Cross multiply
    21,085.28x = 31,623.24 × 6,089.13
  4. Step 4: Simplify right side
    21,085.28x = 192,558,019.38
  5. Step 5: Solve for x
    x = 192,558,019.38/21,085.28
  6. Step 6: Final answer
    x = 9,132.35

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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.