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Finding the Fourth Proportional to 13,093.70, 19,648.76 and 5,302.53

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Solution

The fourth proportional to 13,093.70, 19,648.76 and 5,302.53 is: 7,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.70 : 19,648.76 = 5,302.53 : x
  2. Step 2: Convert to fraction form
    13,093.70/19,648.76 = 5,302.53/x
  3. Step 3: Cross multiply
    13,093.70x = 19,648.76 × 5,302.53
  4. Step 4: Simplify right side
    13,093.70x = 104,188,112.85
  5. Step 5: Solve for x
    x = 104,188,112.85/13,093.70
  6. Step 6: Final answer
    x = 7,957.12

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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.