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Finding the Fourth Proportional to 15,507.42, 21,400.32 and 8,433.86

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Solution

The fourth proportional to 15,507.42, 21,400.32 and 8,433.86 is: 11,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.42 : 21,400.32 = 8,433.86 : x
  2. Step 2: Convert to fraction form
    15,507.42/21,400.32 = 8,433.86/x
  3. Step 3: Cross multiply
    15,507.42x = 21,400.32 × 8,433.86
  4. Step 4: Simplify right side
    15,507.42x = 180,487,195.83
  5. Step 5: Solve for x
    x = 180,487,195.83/15,507.42
  6. Step 6: Final answer
    x = 11,638.76

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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.