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Finding the Fourth Proportional to 16,305.16, 22,506.48 and 9,590.50

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Solution

The fourth proportional to 16,305.16, 22,506.48 and 9,590.50 is: 13,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.16 : 22,506.48 = 9,590.50 : x
  2. Step 2: Convert to fraction form
    16,305.16/22,506.48 = 9,590.50/x
  3. Step 3: Cross multiply
    16,305.16x = 22,506.48 × 9,590.50
  4. Step 4: Simplify right side
    16,305.16x = 215,848,396.44
  5. Step 5: Solve for x
    x = 215,848,396.44/16,305.16
  6. Step 6: Final answer
    x = 13,238.04

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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.