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Finding the Fourth Proportional to 15,637, 23,461.26 and 8,241.16

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Solution

The fourth proportional to 15,637, 23,461.26 and 8,241.16 is: 12,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,637 : 23,461.26 = 8,241.16 : x
  2. Step 2: Convert to fraction form
    15,637/23,461.26 = 8,241.16/x
  3. Step 3: Cross multiply
    15,637x = 23,461.26 × 8,241.16
  4. Step 4: Simplify right side
    15,637x = 193,347,997.46
  5. Step 5: Solve for x
    x = 193,347,997.46/15,637
  6. Step 6: Final answer
    x = 12,364.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.