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Finding the Fourth Proportional to 13,157.23, 18,156.44 and 7,189.10

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Solution

The fourth proportional to 13,157.23, 18,156.44 and 7,189.10 is: 9,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.23 : 18,156.44 = 7,189.10 : x
  2. Step 2: Convert to fraction form
    13,157.23/18,156.44 = 7,189.10/x
  3. Step 3: Cross multiply
    13,157.23x = 18,156.44 × 7,189.10
  4. Step 4: Simplify right side
    13,157.23x = 130,528,490.22
  5. Step 5: Solve for x
    x = 130,528,490.22/13,157.23
  6. Step 6: Final answer
    x = 9,920.67

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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.