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Finding the Fourth Proportional to 20,136.90, 27,784.50 and 12,178.95

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Solution

The fourth proportional to 20,136.90, 27,784.50 and 12,178.95 is: 16,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136.90 : 27,784.50 = 12,178.95 : x
  2. Step 2: Convert to fraction form
    20,136.90/27,784.50 = 12,178.95/x
  3. Step 3: Cross multiply
    20,136.90x = 27,784.50 × 12,178.95
  4. Step 4: Simplify right side
    20,136.90x = 338,386,036.28
  5. Step 5: Solve for x
    x = 338,386,036.28/20,136.90
  6. Step 6: Final answer
    x = 16,804.28

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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.