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Finding the Fourth Proportional to 16,844.60, 23,617 and 16,844.60

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Solution

The fourth proportional to 16,844.60, 23,617 and 16,844.60 is: 23,617

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,844.60 : 23,617 = 16,844.60 : x
  2. Step 2: Convert to fraction form
    16,844.60/23,617 = 16,844.60/x
  3. Step 3: Cross multiply
    16,844.60x = 23,617 × 16,844.60
  4. Step 4: Simplify right side
    16,844.60x = 397,818,918.20
  5. Step 5: Solve for x
    x = 397,818,918.20/16,844.60
  6. Step 6: Final answer
    x = 23,617

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.