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Finding the Fourth Proportional to 16,805.88, 23,182.38 and 10,507.32

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Solution

The fourth proportional to 16,805.88, 23,182.38 and 10,507.32 is: 14,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.88 : 23,182.38 = 10,507.32 : x
  2. Step 2: Convert to fraction form
    16,805.88/23,182.38 = 10,507.32/x
  3. Step 3: Cross multiply
    16,805.88x = 23,182.38 × 10,507.32
  4. Step 4: Simplify right side
    16,805.88x = 243,584,685.02
  5. Step 5: Solve for x
    x = 243,584,685.02/16,805.88
  6. Step 6: Final answer
    x = 14,494.02

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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.