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Finding the Fourth Proportional to 23,158, 34,783.62 and 13,816.27

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Solution

The fourth proportional to 23,158, 34,783.62 and 13,816.27 is: 20,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158 : 34,783.62 = 13,816.27 : x
  2. Step 2: Convert to fraction form
    23,158/34,783.62 = 13,816.27/x
  3. Step 3: Cross multiply
    23,158x = 34,783.62 × 13,816.27
  4. Step 4: Simplify right side
    23,158x = 480,579,885.50
  5. Step 5: Solve for x
    x = 480,579,885.50/23,158
  6. Step 6: Final answer
    x = 20,752.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.