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Finding the Fourth Proportional to 13,463.75, 18,580.29 and 7,495.82

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Solution

The fourth proportional to 13,463.75, 18,580.29 and 7,495.82 is: 10,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.75 : 18,580.29 = 7,495.82 : x
  2. Step 2: Convert to fraction form
    13,463.75/18,580.29 = 7,495.82/x
  3. Step 3: Cross multiply
    13,463.75x = 18,580.29 × 7,495.82
  4. Step 4: Simplify right side
    13,463.75x = 139,274,388.38
  5. Step 5: Solve for x
    x = 139,274,388.38/13,463.75
  6. Step 6: Final answer
    x = 10,344.40

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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.