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Finding the Fourth Proportional to 14,131.70, 21,185.40 and 7,206.20

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Solution

The fourth proportional to 14,131.70, 21,185.40 and 7,206.20 is: 10,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.70 : 21,185.40 = 7,206.20 : x
  2. Step 2: Convert to fraction form
    14,131.70/21,185.40 = 7,206.20/x
  3. Step 3: Cross multiply
    14,131.70x = 21,185.40 × 7,206.20
  4. Step 4: Simplify right side
    14,131.70x = 152,666,229.48
  5. Step 5: Solve for x
    x = 152,666,229.48/14,131.70
  6. Step 6: Final answer
    x = 10,803.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.