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Finding the Fourth Proportional to 16,361.32, 22,589.06 and 10,077.32

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Solution

The fourth proportional to 16,361.32, 22,589.06 and 10,077.32 is: 13,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.32 : 22,589.06 = 10,077.32 : x
  2. Step 2: Convert to fraction form
    16,361.32/22,589.06 = 10,077.32/x
  3. Step 3: Cross multiply
    16,361.32x = 22,589.06 × 10,077.32
  4. Step 4: Simplify right side
    16,361.32x = 227,637,186.12
  5. Step 5: Solve for x
    x = 227,637,186.12/16,361.32
  6. Step 6: Final answer
    x = 13,913.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.