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Finding the Fourth Proportional to 15,644.34, 23,342.99 and 14,166.90

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Solution

The fourth proportional to 15,644.34, 23,342.99 and 14,166.90 is: 21,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.34 : 23,342.99 = 14,166.90 : x
  2. Step 2: Convert to fraction form
    15,644.34/23,342.99 = 14,166.90/x
  3. Step 3: Cross multiply
    15,644.34x = 23,342.99 × 14,166.90
  4. Step 4: Simplify right side
    15,644.34x = 330,697,734.20
  5. Step 5: Solve for x
    x = 330,697,734.20/15,644.34
  6. Step 6: Final answer
    x = 21,138.49

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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.