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Finding the Fourth Proportional to 17,977.60, 26,966.40 and 16,422.40

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Solution

The fourth proportional to 17,977.60, 26,966.40 and 16,422.40 is: 24,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.60 : 26,966.40 = 16,422.40 : x
  2. Step 2: Convert to fraction form
    17,977.60/26,966.40 = 16,422.40/x
  3. Step 3: Cross multiply
    17,977.60x = 26,966.40 × 16,422.40
  4. Step 4: Simplify right side
    17,977.60x = 442,853,007.36
  5. Step 5: Solve for x
    x = 442,853,007.36/17,977.60
  6. Step 6: Final answer
    x = 24,633.60

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1.5x scale

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.