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Finding the Fourth Proportional to 16,826.40, 23,218.08 and 10,454.40

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Solution

The fourth proportional to 16,826.40, 23,218.08 and 10,454.40 is: 14,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826.40 : 23,218.08 = 10,454.40 : x
  2. Step 2: Convert to fraction form
    16,826.40/23,218.08 = 10,454.40/x
  3. Step 3: Cross multiply
    16,826.40x = 23,218.08 × 10,454.40
  4. Step 4: Simplify right side
    16,826.40x = 242,731,095.55
  5. Step 5: Solve for x
    x = 242,731,095.55/16,826.40
  6. Step 6: Final answer
    x = 14,425.61

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1.5x scale

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.