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Finding the Fourth Proportional to 14,538.20, 21,764.10 and 12,810.20

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Solution

The fourth proportional to 14,538.20, 21,764.10 and 12,810.20 is: 19,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.20 : 21,764.10 = 12,810.20 : x
  2. Step 2: Convert to fraction form
    14,538.20/21,764.10 = 12,810.20/x
  3. Step 3: Cross multiply
    14,538.20x = 21,764.10 × 12,810.20
  4. Step 4: Simplify right side
    14,538.20x = 278,802,473.82
  5. Step 5: Solve for x
    x = 278,802,473.82/14,538.20
  6. Step 6: Final answer
    x = 19,177.23

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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.