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Finding the Fourth Proportional to 22,362.12, 30,846.96 and 13,860.36

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Solution

The fourth proportional to 22,362.12, 30,846.96 and 13,860.36 is: 19,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,362.12 : 30,846.96 = 13,860.36 : x
  2. Step 2: Convert to fraction form
    22,362.12/30,846.96 = 13,860.36/x
  3. Step 3: Cross multiply
    22,362.12x = 30,846.96 × 13,860.36
  4. Step 4: Simplify right side
    22,362.12x = 427,549,970.51
  5. Step 5: Solve for x
    x = 427,549,970.51/22,362.12
  6. Step 6: Final answer
    x = 19,119.38

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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.