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Finding the Fourth Proportional to 16,211.10, 24,323.94 and 9,980.58

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Solution

The fourth proportional to 16,211.10, 24,323.94 and 9,980.58 is: 14,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.10 : 24,323.94 = 9,980.58 : x
  2. Step 2: Convert to fraction form
    16,211.10/24,323.94 = 9,980.58/x
  3. Step 3: Cross multiply
    16,211.10x = 24,323.94 × 9,980.58
  4. Step 4: Simplify right side
    16,211.10x = 242,767,029.09
  5. Step 5: Solve for x
    x = 242,767,029.09/16,211.10
  6. Step 6: Final answer
    x = 14,975.36

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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.