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Finding the Fourth Proportional to 16,460.88, 24,694.08 and 5,364.40

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Solution

The fourth proportional to 16,460.88, 24,694.08 and 5,364.40 is: 8,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.88 : 24,694.08 = 5,364.40 : x
  2. Step 2: Convert to fraction form
    16,460.88/24,694.08 = 5,364.40/x
  3. Step 3: Cross multiply
    16,460.88x = 24,694.08 × 5,364.40
  4. Step 4: Simplify right side
    16,460.88x = 132,468,922.75
  5. Step 5: Solve for x
    x = 132,468,922.75/16,460.88
  6. Step 6: Final answer
    x = 8,047.50

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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.