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Finding the Fourth Proportional to 14,852.63, 20,491.59 and 8,474.64

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Solution

The fourth proportional to 14,852.63, 20,491.59 and 8,474.64 is: 11,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.63 : 20,491.59 = 8,474.64 : x
  2. Step 2: Convert to fraction form
    14,852.63/20,491.59 = 8,474.64/x
  3. Step 3: Cross multiply
    14,852.63x = 20,491.59 × 8,474.64
  4. Step 4: Simplify right side
    14,852.63x = 173,658,848.28
  5. Step 5: Solve for x
    x = 173,658,848.28/14,852.63
  6. Step 6: Final answer
    x = 11,692.13

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