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Finding the Fourth Proportional to 16,505.32, 22,777.06 and 9,053.16

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Solution

The fourth proportional to 16,505.32, 22,777.06 and 9,053.16 is: 12,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.32 : 22,777.06 = 9,053.16 : x
  2. Step 2: Convert to fraction form
    16,505.32/22,777.06 = 9,053.16/x
  3. Step 3: Cross multiply
    16,505.32x = 22,777.06 × 9,053.16
  4. Step 4: Simplify right side
    16,505.32x = 206,204,368.51
  5. Step 5: Solve for x
    x = 206,204,368.51/16,505.32
  6. Step 6: Final answer
    x = 12,493.21

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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.