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Finding the Fourth Proportional to 17,721.44, 26,571 and 9,396.20

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Solution

The fourth proportional to 17,721.44, 26,571 and 9,396.20 is: 14,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,721.44 : 26,571 = 9,396.20 : x
  2. Step 2: Convert to fraction form
    17,721.44/26,571 = 9,396.20/x
  3. Step 3: Cross multiply
    17,721.44x = 26,571 × 9,396.20
  4. Step 4: Simplify right side
    17,721.44x = 249,666,430.20
  5. Step 5: Solve for x
    x = 249,666,430.20/17,721.44
  6. Step 6: Final answer
    x = 14,088.38

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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.