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Finding the Fourth Proportional to 13,930.45, 19,224.32 and 7,642.82

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Solution

The fourth proportional to 13,930.45, 19,224.32 and 7,642.82 is: 10,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.45 : 19,224.32 = 7,642.82 : x
  2. Step 2: Convert to fraction form
    13,930.45/19,224.32 = 7,642.82/x
  3. Step 3: Cross multiply
    13,930.45x = 19,224.32 × 7,642.82
  4. Step 4: Simplify right side
    13,930.45x = 146,928,017.38
  5. Step 5: Solve for x
    x = 146,928,017.38/13,930.45
  6. Step 6: Final answer
    x = 10,547.26

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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.