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Finding the Fourth Proportional to 13,061.33, 18,024.64 and 7,093

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Solution

The fourth proportional to 13,061.33, 18,024.64 and 7,093 is: 9,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061.33 : 18,024.64 = 7,093 : x
  2. Step 2: Convert to fraction form
    13,061.33/18,024.64 = 7,093/x
  3. Step 3: Cross multiply
    13,061.33x = 18,024.64 × 7,093
  4. Step 4: Simplify right side
    13,061.33x = 127,848,771.52
  5. Step 5: Solve for x
    x = 127,848,771.52/13,061.33
  6. Step 6: Final answer
    x = 9,788.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.