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Finding the Fourth Proportional to 24,678.84, 37,010.58 and 8,259

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Solution

The fourth proportional to 24,678.84, 37,010.58 and 8,259 is: 12,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.84 : 37,010.58 = 8,259 : x
  2. Step 2: Convert to fraction form
    24,678.84/37,010.58 = 8,259/x
  3. Step 3: Cross multiply
    24,678.84x = 37,010.58 × 8,259
  4. Step 4: Simplify right side
    24,678.84x = 305,670,380.22
  5. Step 5: Solve for x
    x = 305,670,380.22/24,678.84
  6. Step 6: Final answer
    x = 12,385.93

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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.