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Finding the Fourth Proportional to 24,178.65, 33,364.74 and 13,566.23

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Solution

The fourth proportional to 24,178.65, 33,364.74 and 13,566.23 is: 18,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.65 : 33,364.74 = 13,566.23 : x
  2. Step 2: Convert to fraction form
    24,178.65/33,364.74 = 13,566.23/x
  3. Step 3: Cross multiply
    24,178.65x = 33,364.74 × 13,566.23
  4. Step 4: Simplify right side
    24,178.65x = 452,633,819.11
  5. Step 5: Solve for x
    x = 452,633,819.11/24,178.65
  6. Step 6: Final answer
    x = 18,720.39

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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.