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Finding the Fourth Proportional to 14,962, 22,443.90 and 4,573.84

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Solution

The fourth proportional to 14,962, 22,443.90 and 4,573.84 is: 6,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962 : 22,443.90 = 4,573.84 : x
  2. Step 2: Convert to fraction form
    14,962/22,443.90 = 4,573.84/x
  3. Step 3: Cross multiply
    14,962x = 22,443.90 × 4,573.84
  4. Step 4: Simplify right side
    14,962x = 102,654,807.58
  5. Step 5: Solve for x
    x = 102,654,807.58/14,962
  6. Step 6: Final answer
    x = 6,861.04

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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.