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Finding the Fourth Proportional to 13,085.54, 19,630.83 and 5,588.99

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Solution

The fourth proportional to 13,085.54, 19,630.83 and 5,588.99 is: 8,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.54 : 19,630.83 = 5,588.99 : x
  2. Step 2: Convert to fraction form
    13,085.54/19,630.83 = 5,588.99/x
  3. Step 3: Cross multiply
    13,085.54x = 19,630.83 × 5,588.99
  4. Step 4: Simplify right side
    13,085.54x = 109,716,414.41
  5. Step 5: Solve for x
    x = 109,716,414.41/13,085.54
  6. Step 6: Final answer
    x = 8,384.56

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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.