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Finding the Fourth Proportional to 24,054, 33,203.52 and 18,102.84

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Solution

The fourth proportional to 24,054, 33,203.52 and 18,102.84 is: 24,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,054 : 33,203.52 = 18,102.84 : x
  2. Step 2: Convert to fraction form
    24,054/33,203.52 = 18,102.84/x
  3. Step 3: Cross multiply
    24,054x = 33,203.52 × 18,102.84
  4. Step 4: Simplify right side
    24,054x = 601,078,010.00
  5. Step 5: Solve for x
    x = 601,078,010.00/24,054
  6. Step 6: Final answer
    x = 24,988.69

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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.