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Finding the Fourth Proportional to 14,570.30, 21,838.44 and 6,770

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Solution

The fourth proportional to 14,570.30, 21,838.44 and 6,770 is: 10,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.30 : 21,838.44 = 6,770 : x
  2. Step 2: Convert to fraction form
    14,570.30/21,838.44 = 6,770/x
  3. Step 3: Cross multiply
    14,570.30x = 21,838.44 × 6,770
  4. Step 4: Simplify right side
    14,570.30x = 147,846,238.80
  5. Step 5: Solve for x
    x = 147,846,238.80/14,570.30
  6. Step 6: Final answer
    x = 10,147.10

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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.