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Finding the Fourth Proportional to 17,032.20, 25,537.76 and 7,166.40

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Solution

The fourth proportional to 17,032.20, 25,537.76 and 7,166.40 is: 10,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.20 : 25,537.76 = 7,166.40 : x
  2. Step 2: Convert to fraction form
    17,032.20/25,537.76 = 7,166.40/x
  3. Step 3: Cross multiply
    17,032.20x = 25,537.76 × 7,166.40
  4. Step 4: Simplify right side
    17,032.20x = 183,013,803.26
  5. Step 5: Solve for x
    x = 183,013,803.26/17,032.20
  6. Step 6: Final answer
    x = 10,745.17

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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.