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Finding the Fourth Proportional to 24,617.34, 33,970.23 and 14,007.06

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Solution

The fourth proportional to 24,617.34, 33,970.23 and 14,007.06 is: 19,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.34 : 33,970.23 = 14,007.06 : x
  2. Step 2: Convert to fraction form
    24,617.34/33,970.23 = 14,007.06/x
  3. Step 3: Cross multiply
    24,617.34x = 33,970.23 × 14,007.06
  4. Step 4: Simplify right side
    24,617.34x = 475,823,049.82
  5. Step 5: Solve for x
    x = 475,823,049.82/24,617.34
  6. Step 6: Final answer
    x = 19,328.78

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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.