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Finding the Fourth Proportional to 11,644.53, 17,377.33 and 10,398.93

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Solution

The fourth proportional to 11,644.53, 17,377.33 and 10,398.93 is: 15,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.53 : 17,377.33 = 10,398.93 : x
  2. Step 2: Convert to fraction form
    11,644.53/17,377.33 = 10,398.93/x
  3. Step 3: Cross multiply
    11,644.53x = 17,377.33 × 10,398.93
  4. Step 4: Simplify right side
    11,644.53x = 180,705,638.26
  5. Step 5: Solve for x
    x = 180,705,638.26/11,644.53
  6. Step 6: Final answer
    x = 15,518.50

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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.