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Finding the Fourth Proportional to 16,300.56, 22,504.32 and 11,820

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Solution

The fourth proportional to 16,300.56, 22,504.32 and 11,820 is: 16,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.56 : 22,504.32 = 11,820 : x
  2. Step 2: Convert to fraction form
    16,300.56/22,504.32 = 11,820/x
  3. Step 3: Cross multiply
    16,300.56x = 22,504.32 × 11,820
  4. Step 4: Simplify right side
    16,300.56x = 266,001,062.40
  5. Step 5: Solve for x
    x = 266,001,062.40/16,300.56
  6. Step 6: Final answer
    x = 16,318.52

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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.