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Finding the Fourth Proportional to 25,222, 34,807.44 and 14,044

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Solution

The fourth proportional to 25,222, 34,807.44 and 14,044 is: 19,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222 : 34,807.44 = 14,044 : x
  2. Step 2: Convert to fraction form
    25,222/34,807.44 = 14,044/x
  3. Step 3: Cross multiply
    25,222x = 34,807.44 × 14,044
  4. Step 4: Simplify right side
    25,222x = 488,835,687.36
  5. Step 5: Solve for x
    x = 488,835,687.36/25,222
  6. Step 6: Final answer
    x = 19,381.32

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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.