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Finding the Fourth Proportional to 13,906, 19,190.28 and 7,618.24

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Solution

The fourth proportional to 13,906, 19,190.28 and 7,618.24 is: 10,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906 : 19,190.28 = 7,618.24 : x
  2. Step 2: Convert to fraction form
    13,906/19,190.28 = 7,618.24/x
  3. Step 3: Cross multiply
    13,906x = 19,190.28 × 7,618.24
  4. Step 4: Simplify right side
    13,906x = 146,196,158.71
  5. Step 5: Solve for x
    x = 146,196,158.71/13,906
  6. Step 6: Final answer
    x = 10,513.17

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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.