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Finding the Fourth Proportional to 13,148.56, 18,144.48 and 7,180

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Solution

The fourth proportional to 13,148.56, 18,144.48 and 7,180 is: 9,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.56 : 18,144.48 = 7,180 : x
  2. Step 2: Convert to fraction form
    13,148.56/18,144.48 = 7,180/x
  3. Step 3: Cross multiply
    13,148.56x = 18,144.48 × 7,180
  4. Step 4: Simplify right side
    13,148.56x = 130,277,366.40
  5. Step 5: Solve for x
    x = 130,277,366.40/13,148.56
  6. Step 6: Final answer
    x = 9,908.11

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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.