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Finding the Fourth Proportional to 12,488.37, 17,234.13 and 6,823.23

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Solution

The fourth proportional to 12,488.37, 17,234.13 and 6,823.23 is: 9,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,488.37 : 17,234.13 = 6,823.23 : x
  2. Step 2: Convert to fraction form
    12,488.37/17,234.13 = 6,823.23/x
  3. Step 3: Cross multiply
    12,488.37x = 17,234.13 × 6,823.23
  4. Step 4: Simplify right side
    12,488.37x = 117,592,432.84
  5. Step 5: Solve for x
    x = 117,592,432.84/12,488.37
  6. Step 6: Final answer
    x = 9,416.16

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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.