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Finding the Fourth Proportional to 13,557.17, 18,709.73 and 7,589.21

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Solution

The fourth proportional to 13,557.17, 18,709.73 and 7,589.21 is: 10,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557.17 : 18,709.73 = 7,589.21 : x
  2. Step 2: Convert to fraction form
    13,557.17/18,709.73 = 7,589.21/x
  3. Step 3: Cross multiply
    13,557.17x = 18,709.73 × 7,589.21
  4. Step 4: Simplify right side
    13,557.17x = 141,992,032.07
  5. Step 5: Solve for x
    x = 141,992,032.07/13,557.17
  6. Step 6: Final answer
    x = 10,473.57

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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.