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Finding the Fourth Proportional to 13,525.18, 18,665.71 and 7,475.29

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Solution

The fourth proportional to 13,525.18, 18,665.71 and 7,475.29 is: 10,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.18 : 18,665.71 = 7,475.29 : x
  2. Step 2: Convert to fraction form
    13,525.18/18,665.71 = 7,475.29/x
  3. Step 3: Cross multiply
    13,525.18x = 18,665.71 × 7,475.29
  4. Step 4: Simplify right side
    13,525.18x = 139,531,661.26
  5. Step 5: Solve for x
    x = 139,531,661.26/13,525.18
  6. Step 6: Final answer
    x = 10,316.44

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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.