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Finding the Fourth Proportional to 14,674.77, 22,014.59 and 4,811.40

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Solution

The fourth proportional to 14,674.77, 22,014.59 and 4,811.40 is: 7,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,674.77 : 22,014.59 = 4,811.40 : x
  2. Step 2: Convert to fraction form
    14,674.77/22,014.59 = 4,811.40/x
  3. Step 3: Cross multiply
    14,674.77x = 22,014.59 × 4,811.40
  4. Step 4: Simplify right side
    14,674.77x = 105,920,974.27
  5. Step 5: Solve for x
    x = 105,920,974.27/14,674.77
  6. Step 6: Final answer
    x = 7,217.90

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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.