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Finding the Fourth Proportional to 13,153.50, 18,151.38 and 7,185.06

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Solution

The fourth proportional to 13,153.50, 18,151.38 and 7,185.06 is: 9,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.50 : 18,151.38 = 7,185.06 : x
  2. Step 2: Convert to fraction form
    13,153.50/18,151.38 = 7,185.06/x
  3. Step 3: Cross multiply
    13,153.50x = 18,151.38 × 7,185.06
  4. Step 4: Simplify right side
    13,153.50x = 130,418,754.38
  5. Step 5: Solve for x
    x = 130,418,754.38/13,153.50
  6. Step 6: Final answer
    x = 9,915.14

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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.