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Finding the Fourth Proportional to 13,539.06, 18,684 and 7,571.07

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Solution

The fourth proportional to 13,539.06, 18,684 and 7,571.07 is: 10,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.06 : 18,684 = 7,571.07 : x
  2. Step 2: Convert to fraction form
    13,539.06/18,684 = 7,571.07/x
  3. Step 3: Cross multiply
    13,539.06x = 18,684 × 7,571.07
  4. Step 4: Simplify right side
    13,539.06x = 141,457,871.88
  5. Step 5: Solve for x
    x = 141,457,871.88/13,539.06
  6. Step 6: Final answer
    x = 10,448.13

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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.