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Finding the Fourth Proportional to 13,470.94, 18,589.43 and 7,502.30

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Solution

The fourth proportional to 13,470.94, 18,589.43 and 7,502.30 is: 10,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.94 : 18,589.43 = 7,502.30 : x
  2. Step 2: Convert to fraction form
    13,470.94/18,589.43 = 7,502.30/x
  3. Step 3: Cross multiply
    13,470.94x = 18,589.43 × 7,502.30
  4. Step 4: Simplify right side
    13,470.94x = 139,463,476.21
  5. Step 5: Solve for x
    x = 139,463,476.21/13,470.94
  6. Step 6: Final answer
    x = 10,352.91

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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.