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Finding the Fourth Proportional to 15,592.96, 23,389.92 and 6,823.36

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Solution

The fourth proportional to 15,592.96, 23,389.92 and 6,823.36 is: 10,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,592.96 : 23,389.92 = 6,823.36 : x
  2. Step 2: Convert to fraction form
    15,592.96/23,389.92 = 6,823.36/x
  3. Step 3: Cross multiply
    15,592.96x = 23,389.92 × 6,823.36
  4. Step 4: Simplify right side
    15,592.96x = 159,597,844.53
  5. Step 5: Solve for x
    x = 159,597,844.53/15,592.96
  6. Step 6: Final answer
    x = 10,235.25

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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.