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Finding the Fourth Proportional to 12,563.58, 18,830.76 and 5,623.50

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Solution

The fourth proportional to 12,563.58, 18,830.76 and 5,623.50 is: 8,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.58 : 18,830.76 = 5,623.50 : x
  2. Step 2: Convert to fraction form
    12,563.58/18,830.76 = 5,623.50/x
  3. Step 3: Cross multiply
    12,563.58x = 18,830.76 × 5,623.50
  4. Step 4: Simplify right side
    12,563.58x = 105,894,778.86
  5. Step 5: Solve for x
    x = 105,894,778.86/12,563.58
  6. Step 6: Final answer
    x = 8,428.71

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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.