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Finding the Fourth Proportional to 14,848.32, 20,491.04 and 8,134.22

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Solution

The fourth proportional to 14,848.32, 20,491.04 and 8,134.22 is: 11,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,848.32 : 20,491.04 = 8,134.22 : x
  2. Step 2: Convert to fraction form
    14,848.32/20,491.04 = 8,134.22/x
  3. Step 3: Cross multiply
    14,848.32x = 20,491.04 × 8,134.22
  4. Step 4: Simplify right side
    14,848.32x = 166,678,627.39
  5. Step 5: Solve for x
    x = 166,678,627.39/14,848.32
  6. Step 6: Final answer
    x = 11,225.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.