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Finding the Fourth Proportional to 14,409.60, 19,883.04 and 8,120.64

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Solution

The fourth proportional to 14,409.60, 19,883.04 and 8,120.64 is: 11,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.60 : 19,883.04 = 8,120.64 : x
  2. Step 2: Convert to fraction form
    14,409.60/19,883.04 = 8,120.64/x
  3. Step 3: Cross multiply
    14,409.60x = 19,883.04 × 8,120.64
  4. Step 4: Simplify right side
    14,409.60x = 161,463,009.95
  5. Step 5: Solve for x
    x = 161,463,009.95/14,409.60
  6. Step 6: Final answer
    x = 11,205.24

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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.