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Finding the Fourth Proportional to 17,247.50, 23,804.14 and 10,537

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Solution

The fourth proportional to 17,247.50, 23,804.14 and 10,537 is: 14,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,247.50 : 23,804.14 = 10,537 : x
  2. Step 2: Convert to fraction form
    17,247.50/23,804.14 = 10,537/x
  3. Step 3: Cross multiply
    17,247.50x = 23,804.14 × 10,537
  4. Step 4: Simplify right side
    17,247.50x = 250,824,223.18
  5. Step 5: Solve for x
    x = 250,824,223.18/17,247.50
  6. Step 6: Final answer
    x = 14,542.64

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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.