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Finding the Fourth Proportional to 14,846.40, 20,490.07 and 9,102.84

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Solution

The fourth proportional to 14,846.40, 20,490.07 and 9,102.84 is: 12,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.40 : 20,490.07 = 9,102.84 : x
  2. Step 2: Convert to fraction form
    14,846.40/20,490.07 = 9,102.84/x
  3. Step 3: Cross multiply
    14,846.40x = 20,490.07 × 9,102.84
  4. Step 4: Simplify right side
    14,846.40x = 186,517,744.15
  5. Step 5: Solve for x
    x = 186,517,744.15/14,846.40
  6. Step 6: Final answer
    x = 12,563.17

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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.