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Finding the Fourth Proportional to 13,538.53, 18,683.90 and 7,570.18

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Solution

The fourth proportional to 13,538.53, 18,683.90 and 7,570.18 is: 10,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.53 : 18,683.90 = 7,570.18 : x
  2. Step 2: Convert to fraction form
    13,538.53/18,683.90 = 7,570.18/x
  3. Step 3: Cross multiply
    13,538.53x = 18,683.90 × 7,570.18
  4. Step 4: Simplify right side
    13,538.53x = 141,440,486.10
  5. Step 5: Solve for x
    x = 141,440,486.10/13,538.53
  6. Step 6: Final answer
    x = 10,447.26

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