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Finding the Fourth Proportional to 16,384.52, 24,584.16 and 8,890.40

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Solution

The fourth proportional to 16,384.52, 24,584.16 and 8,890.40 is: 13,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.52 : 24,584.16 = 8,890.40 : x
  2. Step 2: Convert to fraction form
    16,384.52/24,584.16 = 8,890.40/x
  3. Step 3: Cross multiply
    16,384.52x = 24,584.16 × 8,890.40
  4. Step 4: Simplify right side
    16,384.52x = 218,563,016.06
  5. Step 5: Solve for x
    x = 218,563,016.06/16,384.52
  6. Step 6: Final answer
    x = 13,339.60

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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.