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Finding the Fourth Proportional to 14,750.90, 22,013.07 and 13,174.44

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Solution

The fourth proportional to 14,750.90, 22,013.07 and 13,174.44 is: 19,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750.90 : 22,013.07 = 13,174.44 : x
  2. Step 2: Convert to fraction form
    14,750.90/22,013.07 = 13,174.44/x
  3. Step 3: Cross multiply
    14,750.90x = 22,013.07 × 13,174.44
  4. Step 4: Simplify right side
    14,750.90x = 290,009,869.93
  5. Step 5: Solve for x
    x = 290,009,869.93/14,750.90
  6. Step 6: Final answer
    x = 19,660.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.