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Finding the Fourth Proportional to 25,222, 34,807.16 and 13,892.32

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Solution

The fourth proportional to 25,222, 34,807.16 and 13,892.32 is: 19,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222 : 34,807.16 = 13,892.32 : x
  2. Step 2: Convert to fraction form
    25,222/34,807.16 = 13,892.32/x
  3. Step 3: Cross multiply
    25,222x = 34,807.16 × 13,892.32
  4. Step 4: Simplify right side
    25,222x = 483,552,205.01
  5. Step 5: Solve for x
    x = 483,552,205.01/25,222
  6. Step 6: Final answer
    x = 19,171.84

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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.