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Finding the Fourth Proportional to 14,020.90, 19,348.87 and 7,647.50

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Solution

The fourth proportional to 14,020.90, 19,348.87 and 7,647.50 is: 10,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.90 : 19,348.87 = 7,647.50 : x
  2. Step 2: Convert to fraction form
    14,020.90/19,348.87 = 7,647.50/x
  3. Step 3: Cross multiply
    14,020.90x = 19,348.87 × 7,647.50
  4. Step 4: Simplify right side
    14,020.90x = 147,970,483.33
  5. Step 5: Solve for x
    x = 147,970,483.33/14,020.90
  6. Step 6: Final answer
    x = 10,553.57

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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.