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Finding the Fourth Proportional to 13,021.54, 17,970.06 and 7,715.50

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Solution

The fourth proportional to 13,021.54, 17,970.06 and 7,715.50 is: 10,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.54 : 17,970.06 = 7,715.50 : x
  2. Step 2: Convert to fraction form
    13,021.54/17,970.06 = 7,715.50/x
  3. Step 3: Cross multiply
    13,021.54x = 17,970.06 × 7,715.50
  4. Step 4: Simplify right side
    13,021.54x = 138,647,997.93
  5. Step 5: Solve for x
    x = 138,647,997.93/13,021.54
  6. Step 6: Final answer
    x = 10,647.59

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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.