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Finding the Fourth Proportional to 22,704.84, 34,012.98 and 12,814.20

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Solution

The fourth proportional to 22,704.84, 34,012.98 and 12,814.20 is: 19,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704.84 : 34,012.98 = 12,814.20 : x
  2. Step 2: Convert to fraction form
    22,704.84/34,012.98 = 12,814.20/x
  3. Step 3: Cross multiply
    22,704.84x = 34,012.98 × 12,814.20
  4. Step 4: Simplify right side
    22,704.84x = 435,849,128.32
  5. Step 5: Solve for x
    x = 435,849,128.32/22,704.84
  6. Step 6: Final answer
    x = 19,196.31

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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.