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Finding the Fourth Proportional to 19,214.36, 28,830.44 and 8,123.63

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Solution

The fourth proportional to 19,214.36, 28,830.44 and 8,123.63 is: 12,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214.36 : 28,830.44 = 8,123.63 : x
  2. Step 2: Convert to fraction form
    19,214.36/28,830.44 = 8,123.63/x
  3. Step 3: Cross multiply
    19,214.36x = 28,830.44 × 8,123.63
  4. Step 4: Simplify right side
    19,214.36x = 234,207,827.30
  5. Step 5: Solve for x
    x = 234,207,827.30/19,214.36
  6. Step 6: Final answer
    x = 12,189.21

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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.