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Finding the Fourth Proportional to 23,565.39, 32,520.48 and 12,810.32

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Solution

The fourth proportional to 23,565.39, 32,520.48 and 12,810.32 is: 17,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.39 : 32,520.48 = 12,810.32 : x
  2. Step 2: Convert to fraction form
    23,565.39/32,520.48 = 12,810.32/x
  3. Step 3: Cross multiply
    23,565.39x = 32,520.48 × 12,810.32
  4. Step 4: Simplify right side
    23,565.39x = 416,597,592.75
  5. Step 5: Solve for x
    x = 416,597,592.75/23,565.39
  6. Step 6: Final answer
    x = 17,678.37

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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.