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Finding the Fourth Proportional to 14,852.61, 20,496.58 and 8,138.36

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Solution

The fourth proportional to 14,852.61, 20,496.58 and 8,138.36 is: 11,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.61 : 20,496.58 = 8,138.36 : x
  2. Step 2: Convert to fraction form
    14,852.61/20,496.58 = 8,138.36/x
  3. Step 3: Cross multiply
    14,852.61x = 20,496.58 × 8,138.36
  4. Step 4: Simplify right side
    14,852.61x = 166,808,577.70
  5. Step 5: Solve for x
    x = 166,808,577.70/14,852.61
  6. Step 6: Final answer
    x = 11,230.93

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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.