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Finding the Fourth Proportional to 13,819.90, 19,068.06 and 8,440.96

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Solution

The fourth proportional to 13,819.90, 19,068.06 and 8,440.96 is: 11,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.90 : 19,068.06 = 8,440.96 : x
  2. Step 2: Convert to fraction form
    13,819.90/19,068.06 = 8,440.96/x
  3. Step 3: Cross multiply
    13,819.90x = 19,068.06 × 8,440.96
  4. Step 4: Simplify right side
    13,819.90x = 160,952,731.74
  5. Step 5: Solve for x
    x = 160,952,731.74/13,819.90
  6. Step 6: Final answer
    x = 11,646.45

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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.