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Finding the Fourth Proportional to 24,859.44, 37,289.16 and 6,390

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Solution

The fourth proportional to 24,859.44, 37,289.16 and 6,390 is: 9,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,859.44 : 37,289.16 = 6,390 : x
  2. Step 2: Convert to fraction form
    24,859.44/37,289.16 = 6,390/x
  3. Step 3: Cross multiply
    24,859.44x = 37,289.16 × 6,390
  4. Step 4: Simplify right side
    24,859.44x = 238,277,732.40
  5. Step 5: Solve for x
    x = 238,277,732.40/24,859.44
  6. Step 6: Final answer
    x = 9,585.00

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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.