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Finding the Fourth Proportional to 14,984, 22,475.92 and 3,890.64

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Solution

The fourth proportional to 14,984, 22,475.92 and 3,890.64 is: 5,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984 : 22,475.92 = 3,890.64 : x
  2. Step 2: Convert to fraction form
    14,984/22,475.92 = 3,890.64/x
  3. Step 3: Cross multiply
    14,984x = 22,475.92 × 3,890.64
  4. Step 4: Simplify right side
    14,984x = 87,445,713.39
  5. Step 5: Solve for x
    x = 87,445,713.39/14,984
  6. Step 6: Final answer
    x = 5,835.94

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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.