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Finding the Fourth Proportional to 13,537.32, 20,310.59 and 7,297.93

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Solution

The fourth proportional to 13,537.32, 20,310.59 and 7,297.93 is: 10,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.32 : 20,310.59 = 7,297.93 : x
  2. Step 2: Convert to fraction form
    13,537.32/20,310.59 = 7,297.93/x
  3. Step 3: Cross multiply
    13,537.32x = 20,310.59 × 7,297.93
  4. Step 4: Simplify right side
    13,537.32x = 148,225,287.19
  5. Step 5: Solve for x
    x = 148,225,287.19/13,537.32
  6. Step 6: Final answer
    x = 10,949.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.