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Finding the Fourth Proportional to 12,564.08, 18,823.96 and 7,623.70

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Solution

The fourth proportional to 12,564.08, 18,823.96 and 7,623.70 is: 11,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.08 : 18,823.96 = 7,623.70 : x
  2. Step 2: Convert to fraction form
    12,564.08/18,823.96 = 7,623.70/x
  3. Step 3: Cross multiply
    12,564.08x = 18,823.96 × 7,623.70
  4. Step 4: Simplify right side
    12,564.08x = 143,508,223.85
  5. Step 5: Solve for x
    x = 143,508,223.85/12,564.08
  6. Step 6: Final answer
    x = 11,422.10

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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.