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Finding the Fourth Proportional to 13,824.64, 19,078 and 7,537

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Solution

The fourth proportional to 13,824.64, 19,078 and 7,537 is: 10,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.64 : 19,078 = 7,537 : x
  2. Step 2: Convert to fraction form
    13,824.64/19,078 = 7,537/x
  3. Step 3: Cross multiply
    13,824.64x = 19,078 × 7,537
  4. Step 4: Simplify right side
    13,824.64x = 143,790,886
  5. Step 5: Solve for x
    x = 143,790,886/13,824.64
  6. Step 6: Final answer
    x = 10,401.06

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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.