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Finding the Fourth Proportional to 13,538.76, 18,683.44 and 7,570.41

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Solution

The fourth proportional to 13,538.76, 18,683.44 and 7,570.41 is: 10,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.76 : 18,683.44 = 7,570.41 : x
  2. Step 2: Convert to fraction form
    13,538.76/18,683.44 = 7,570.41/x
  3. Step 3: Cross multiply
    13,538.76x = 18,683.44 × 7,570.41
  4. Step 4: Simplify right side
    13,538.76x = 141,441,301.01
  5. Step 5: Solve for x
    x = 141,441,301.01/13,538.76
  6. Step 6: Final answer
    x = 10,447.14

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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.