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Finding the Fourth Proportional to 13,093.82, 19,641.60 and 4,328.81

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Solution

The fourth proportional to 13,093.82, 19,641.60 and 4,328.81 is: 6,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.82 : 19,641.60 = 4,328.81 : x
  2. Step 2: Convert to fraction form
    13,093.82/19,641.60 = 4,328.81/x
  3. Step 3: Cross multiply
    13,093.82x = 19,641.60 × 4,328.81
  4. Step 4: Simplify right side
    13,093.82x = 85,024,656.29
  5. Step 5: Solve for x
    x = 85,024,656.29/13,093.82
  6. Step 6: Final answer
    x = 6,493.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.