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Finding the Fourth Proportional to 13,020.54, 17,967.26 and 7,642.40

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Solution

The fourth proportional to 13,020.54, 17,967.26 and 7,642.40 is: 10,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.54 : 17,967.26 = 7,642.40 : x
  2. Step 2: Convert to fraction form
    13,020.54/17,967.26 = 7,642.40/x
  3. Step 3: Cross multiply
    13,020.54x = 17,967.26 × 7,642.40
  4. Step 4: Simplify right side
    13,020.54x = 137,312,897.99
  5. Step 5: Solve for x
    x = 137,312,897.99/13,020.54
  6. Step 6: Final answer
    x = 10,545.87

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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.