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Finding the Fourth Proportional to 23,384.64, 34,906.38 and 20,432.16

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Solution

The fourth proportional to 23,384.64, 34,906.38 and 20,432.16 is: 30,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.64 : 34,906.38 = 20,432.16 : x
  2. Step 2: Convert to fraction form
    23,384.64/34,906.38 = 20,432.16/x
  3. Step 3: Cross multiply
    23,384.64x = 34,906.38 × 20,432.16
  4. Step 4: Simplify right side
    23,384.64x = 713,212,741.18
  5. Step 5: Solve for x
    x = 713,212,741.18/23,384.64
  6. Step 6: Final answer
    x = 30,499.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.