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Finding the Fourth Proportional to 24,616.10, 33,970.39 and 14,005.74

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Solution

The fourth proportional to 24,616.10, 33,970.39 and 14,005.74 is: 19,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.10 : 33,970.39 = 14,005.74 : x
  2. Step 2: Convert to fraction form
    24,616.10/33,970.39 = 14,005.74/x
  3. Step 3: Cross multiply
    24,616.10x = 33,970.39 × 14,005.74
  4. Step 4: Simplify right side
    24,616.10x = 475,780,255.79
  5. Step 5: Solve for x
    x = 475,780,255.79/24,616.10
  6. Step 6: Final answer
    x = 19,328.01

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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.