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Finding the Fourth Proportional to 16,806.95, 23,143.56 and 16,434

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Solution

The fourth proportional to 16,806.95, 23,143.56 and 16,434 is: 22,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.95 : 23,143.56 = 16,434 : x
  2. Step 2: Convert to fraction form
    16,806.95/23,143.56 = 16,434/x
  3. Step 3: Cross multiply
    16,806.95x = 23,143.56 × 16,434
  4. Step 4: Simplify right side
    16,806.95x = 380,341,265.04
  5. Step 5: Solve for x
    x = 380,341,265.04/16,806.95
  6. Step 6: Final answer
    x = 22,630.01

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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.