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Finding the Fourth Proportional to 13,125.84, 18,113.34 and 7,157.64

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Solution

The fourth proportional to 13,125.84, 18,113.34 and 7,157.64 is: 9,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.84 : 18,113.34 = 7,157.64 : x
  2. Step 2: Convert to fraction form
    13,125.84/18,113.34 = 7,157.64/x
  3. Step 3: Cross multiply
    13,125.84x = 18,113.34 × 7,157.64
  4. Step 4: Simplify right side
    13,125.84x = 129,648,766.92
  5. Step 5: Solve for x
    x = 129,648,766.92/13,125.84
  6. Step 6: Final answer
    x = 9,877.37

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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.