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Finding the Fourth Proportional to 13,645.65, 18,829.66 and 7,677.19

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Solution

The fourth proportional to 13,645.65, 18,829.66 and 7,677.19 is: 10,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.65 : 18,829.66 = 7,677.19 : x
  2. Step 2: Convert to fraction form
    13,645.65/18,829.66 = 7,677.19/x
  3. Step 3: Cross multiply
    13,645.65x = 18,829.66 × 7,677.19
  4. Step 4: Simplify right side
    13,645.65x = 144,558,839.07
  5. Step 5: Solve for x
    x = 144,558,839.07/13,645.65
  6. Step 6: Final answer
    x = 10,593.77

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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.