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Finding the Fourth Proportional to 23,201.32, 32,017.74 and 13,128.77

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Solution

The fourth proportional to 23,201.32, 32,017.74 and 13,128.77 is: 18,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.32 : 32,017.74 = 13,128.77 : x
  2. Step 2: Convert to fraction form
    23,201.32/32,017.74 = 13,128.77/x
  3. Step 3: Cross multiply
    23,201.32x = 32,017.74 × 13,128.77
  4. Step 4: Simplify right side
    23,201.32x = 420,353,544.38
  5. Step 5: Solve for x
    x = 420,353,544.38/23,201.32
  6. Step 6: Final answer
    x = 18,117.66

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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.