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Finding the Fourth Proportional to 24,346.72, 33,607.92 and 14,284

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Solution

The fourth proportional to 24,346.72, 33,607.92 and 14,284 is: 19,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346.72 : 33,607.92 = 14,284 : x
  2. Step 2: Convert to fraction form
    24,346.72/33,607.92 = 14,284/x
  3. Step 3: Cross multiply
    24,346.72x = 33,607.92 × 14,284
  4. Step 4: Simplify right side
    24,346.72x = 480,055,529.28
  5. Step 5: Solve for x
    x = 480,055,529.28/24,346.72
  6. Step 6: Final answer
    x = 19,717.46

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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.