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Finding the Fourth Proportional to 13,819.16, 19,070.66 and 7,851

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Solution

The fourth proportional to 13,819.16, 19,070.66 and 7,851 is: 10,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.16 : 19,070.66 = 7,851 : x
  2. Step 2: Convert to fraction form
    13,819.16/19,070.66 = 7,851/x
  3. Step 3: Cross multiply
    13,819.16x = 19,070.66 × 7,851
  4. Step 4: Simplify right side
    13,819.16x = 149,723,751.66
  5. Step 5: Solve for x
    x = 149,723,751.66/13,819.16
  6. Step 6: Final answer
    x = 10,834.50

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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.