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Finding the Fourth Proportional to 13,637.53, 18,819.67 and 7,669.07

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Solution

The fourth proportional to 13,637.53, 18,819.67 and 7,669.07 is: 10,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.53 : 18,819.67 = 7,669.07 : x
  2. Step 2: Convert to fraction form
    13,637.53/18,819.67 = 7,669.07/x
  3. Step 3: Cross multiply
    13,637.53x = 18,819.67 × 7,669.07
  4. Step 4: Simplify right side
    13,637.53x = 144,329,272.51
  5. Step 5: Solve for x
    x = 144,329,272.51/13,637.53
  6. Step 6: Final answer
    x = 10,583.25

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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.