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Finding the Fourth Proportional to 13,810.20, 19,057.88 and 7,841.81

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Solution

The fourth proportional to 13,810.20, 19,057.88 and 7,841.81 is: 10,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.20 : 19,057.88 = 7,841.81 : x
  2. Step 2: Convert to fraction form
    13,810.20/19,057.88 = 7,841.81/x
  3. Step 3: Cross multiply
    13,810.20x = 19,057.88 × 7,841.81
  4. Step 4: Simplify right side
    13,810.20x = 149,448,341.21
  5. Step 5: Solve for x
    x = 149,448,341.21/13,810.20
  6. Step 6: Final answer
    x = 10,821.59

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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.