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Finding the Fourth Proportional to 24,362, 33,619.77 and 13,184

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Solution

The fourth proportional to 24,362, 33,619.77 and 13,184 is: 18,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362 : 33,619.77 = 13,184 : x
  2. Step 2: Convert to fraction form
    24,362/33,619.77 = 13,184/x
  3. Step 3: Cross multiply
    24,362x = 33,619.77 × 13,184
  4. Step 4: Simplify right side
    24,362x = 443,242,981.76
  5. Step 5: Solve for x
    x = 443,242,981.76/24,362
  6. Step 6: Final answer
    x = 18,194.03

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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.