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Finding the Fourth Proportional to 14,787.90, 20,409.09 and 8,416.05

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Solution

The fourth proportional to 14,787.90, 20,409.09 and 8,416.05 is: 11,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.90 : 20,409.09 = 8,416.05 : x
  2. Step 2: Convert to fraction form
    14,787.90/20,409.09 = 8,416.05/x
  3. Step 3: Cross multiply
    14,787.90x = 20,409.09 × 8,416.05
  4. Step 4: Simplify right side
    14,787.90x = 171,763,921.89
  5. Step 5: Solve for x
    x = 171,763,921.89/14,787.90
  6. Step 6: Final answer
    x = 11,615.17

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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.