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Finding the Fourth Proportional to 13,809.69, 19,055.70 and 7,841.16

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Solution

The fourth proportional to 13,809.69, 19,055.70 and 7,841.16 is: 10,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.69 : 19,055.70 = 7,841.16 : x
  2. Step 2: Convert to fraction form
    13,809.69/19,055.70 = 7,841.16/x
  3. Step 3: Cross multiply
    13,809.69x = 19,055.70 × 7,841.16
  4. Step 4: Simplify right side
    13,809.69x = 149,418,792.61
  5. Step 5: Solve for x
    x = 149,418,792.61/13,809.69
  6. Step 6: Final answer
    x = 10,819.85

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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.