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Finding the Fourth Proportional to 13,819.90, 19,077.94 and 8,152.86

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Solution

The fourth proportional to 13,819.90, 19,077.94 and 8,152.86 is: 11,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.90 : 19,077.94 = 8,152.86 : x
  2. Step 2: Convert to fraction form
    13,819.90/19,077.94 = 8,152.86/x
  3. Step 3: Cross multiply
    13,819.90x = 19,077.94 × 8,152.86
  4. Step 4: Simplify right side
    13,819.90x = 155,539,773.91
  5. Step 5: Solve for x
    x = 155,539,773.91/13,819.90
  6. Step 6: Final answer
    x = 11,254.77

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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.