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Finding the Fourth Proportional to 16,214.22, 24,312.99 and 7,441.50

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Solution

The fourth proportional to 16,214.22, 24,312.99 and 7,441.50 is: 11,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.22 : 24,312.99 = 7,441.50 : x
  2. Step 2: Convert to fraction form
    16,214.22/24,312.99 = 7,441.50/x
  3. Step 3: Cross multiply
    16,214.22x = 24,312.99 × 7,441.50
  4. Step 4: Simplify right side
    16,214.22x = 180,925,115.09
  5. Step 5: Solve for x
    x = 180,925,115.09/16,214.22
  6. Step 6: Final answer
    x = 11,158.42

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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.