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Finding the Fourth Proportional to 15,509.35, 21,391.44 and 9,839.21

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Solution

The fourth proportional to 15,509.35, 21,391.44 and 9,839.21 is: 13,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.35 : 21,391.44 = 9,839.21 : x
  2. Step 2: Convert to fraction form
    15,509.35/21,391.44 = 9,839.21/x
  3. Step 3: Cross multiply
    15,509.35x = 21,391.44 × 9,839.21
  4. Step 4: Simplify right side
    15,509.35x = 210,474,726.51
  5. Step 5: Solve for x
    x = 210,474,726.51/15,509.35
  6. Step 6: Final answer
    x = 13,570.83

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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.