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Finding the Fourth Proportional to 23,590.42, 32,568.22 and 15,643.38

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Solution

The fourth proportional to 23,590.42, 32,568.22 and 15,643.38 is: 21,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590.42 : 32,568.22 = 15,643.38 : x
  2. Step 2: Convert to fraction form
    23,590.42/32,568.22 = 15,643.38/x
  3. Step 3: Cross multiply
    23,590.42x = 32,568.22 × 15,643.38
  4. Step 4: Simplify right side
    23,590.42x = 509,477,041.38
  5. Step 5: Solve for x
    x = 509,477,041.38/23,590.42
  6. Step 6: Final answer
    x = 21,596.78

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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.