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Finding the Fourth Proportional to 13,537.94, 18,683.26 and 7,570.68

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Solution

The fourth proportional to 13,537.94, 18,683.26 and 7,570.68 is: 10,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.94 : 18,683.26 = 7,570.68 : x
  2. Step 2: Convert to fraction form
    13,537.94/18,683.26 = 7,570.68/x
  3. Step 3: Cross multiply
    13,537.94x = 18,683.26 × 7,570.68
  4. Step 4: Simplify right side
    13,537.94x = 141,444,982.82
  5. Step 5: Solve for x
    x = 141,444,982.82/13,537.94
  6. Step 6: Final answer
    x = 10,448.04

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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.