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Finding the Fourth Proportional to 14,846.34, 22,252.74 and 6,076.50

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Solution

The fourth proportional to 14,846.34, 22,252.74 and 6,076.50 is: 9,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.34 : 22,252.74 = 6,076.50 : x
  2. Step 2: Convert to fraction form
    14,846.34/22,252.74 = 6,076.50/x
  3. Step 3: Cross multiply
    14,846.34x = 22,252.74 × 6,076.50
  4. Step 4: Simplify right side
    14,846.34x = 135,218,774.61
  5. Step 5: Solve for x
    x = 135,218,774.61/14,846.34
  6. Step 6: Final answer
    x = 9,107.89

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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.