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Finding the Fourth Proportional to 14,271.50, 19,694.68 and 7,985.36

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Solution

The fourth proportional to 14,271.50, 19,694.68 and 7,985.36 is: 11,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.50 : 19,694.68 = 7,985.36 : x
  2. Step 2: Convert to fraction form
    14,271.50/19,694.68 = 7,985.36/x
  3. Step 3: Cross multiply
    14,271.50x = 19,694.68 × 7,985.36
  4. Step 4: Simplify right side
    14,271.50x = 157,269,109.88
  5. Step 5: Solve for x
    x = 157,269,109.88/14,271.50
  6. Step 6: Final answer
    x = 11,019.80

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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.