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Finding the Fourth Proportional to 16,524.46, 22,809.66 and 9,810.07

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Solution

The fourth proportional to 16,524.46, 22,809.66 and 9,810.07 is: 13,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.46 : 22,809.66 = 9,810.07 : x
  2. Step 2: Convert to fraction form
    16,524.46/22,809.66 = 9,810.07/x
  3. Step 3: Cross multiply
    16,524.46x = 22,809.66 × 9,810.07
  4. Step 4: Simplify right side
    16,524.46x = 223,764,361.28
  5. Step 5: Solve for x
    x = 223,764,361.28/16,524.46
  6. Step 6: Final answer
    x = 13,541.40

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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.