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Finding the Fourth Proportional to 24,341.51, 36,512.55 and 8,546.93

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Solution

The fourth proportional to 24,341.51, 36,512.55 and 8,546.93 is: 12,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,341.51 : 36,512.55 = 8,546.93 : x
  2. Step 2: Convert to fraction form
    24,341.51/36,512.55 = 8,546.93/x
  3. Step 3: Cross multiply
    24,341.51x = 36,512.55 × 8,546.93
  4. Step 4: Simplify right side
    24,341.51x = 312,070,208.97
  5. Step 5: Solve for x
    x = 312,070,208.97/24,341.51
  6. Step 6: Final answer
    x = 12,820.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.