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Finding the Fourth Proportional to 14,842.40, 22,234.80 and 8,256.80

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Solution

The fourth proportional to 14,842.40, 22,234.80 and 8,256.80 is: 12,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.40 : 22,234.80 = 8,256.80 : x
  2. Step 2: Convert to fraction form
    14,842.40/22,234.80 = 8,256.80/x
  3. Step 3: Cross multiply
    14,842.40x = 22,234.80 × 8,256.80
  4. Step 4: Simplify right side
    14,842.40x = 183,588,296.64
  5. Step 5: Solve for x
    x = 183,588,296.64/14,842.40
  6. Step 6: Final answer
    x = 12,369.18

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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.