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Finding the Fourth Proportional to 29,712, 41,005.12 and 16,466.56

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Solution

The fourth proportional to 29,712, 41,005.12 and 16,466.56 is: 22,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712 : 41,005.12 = 16,466.56 : x
  2. Step 2: Convert to fraction form
    29,712/41,005.12 = 16,466.56/x
  3. Step 3: Cross multiply
    29,712x = 41,005.12 × 16,466.56
  4. Step 4: Simplify right side
    29,712x = 675,213,268.79
  5. Step 5: Solve for x
    x = 675,213,268.79/29,712
  6. Step 6: Final answer
    x = 22,725.27

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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.