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Finding the Fourth Proportional to 13,126.14, 18,113.91 and 7,157.67

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Solution

The fourth proportional to 13,126.14, 18,113.91 and 7,157.67 is: 9,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126.14 : 18,113.91 = 7,157.67 : x
  2. Step 2: Convert to fraction form
    13,126.14/18,113.91 = 7,157.67/x
  3. Step 3: Cross multiply
    13,126.14x = 18,113.91 × 7,157.67
  4. Step 4: Simplify right side
    13,126.14x = 129,653,390.19
  5. Step 5: Solve for x
    x = 129,653,390.19/13,126.14
  6. Step 6: Final answer
    x = 9,877.50

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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.