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Finding the Fourth Proportional to 13,158.37, 18,157.89 and 7,188.94

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Solution

The fourth proportional to 13,158.37, 18,157.89 and 7,188.94 is: 9,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.37 : 18,157.89 = 7,188.94 : x
  2. Step 2: Convert to fraction form
    13,158.37/18,157.89 = 7,188.94/x
  3. Step 3: Cross multiply
    13,158.37x = 18,157.89 × 7,188.94
  4. Step 4: Simplify right side
    13,158.37x = 130,535,981.74
  5. Step 5: Solve for x
    x = 130,535,981.74/13,158.37
  6. Step 6: Final answer
    x = 9,920.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.