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Finding the Fourth Proportional to 14,984.80, 22,525.80 and 12,846.40

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Solution

The fourth proportional to 14,984.80, 22,525.80 and 12,846.40 is: 19,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984.80 : 22,525.80 = 12,846.40 : x
  2. Step 2: Convert to fraction form
    14,984.80/22,525.80 = 12,846.40/x
  3. Step 3: Cross multiply
    14,984.80x = 22,525.80 × 12,846.40
  4. Step 4: Simplify right side
    14,984.80x = 289,375,437.12
  5. Step 5: Solve for x
    x = 289,375,437.12/14,984.80
  6. Step 6: Final answer
    x = 19,311.26

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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.