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Finding the Fourth Proportional to 14,920.98, 22,379.80 and 3,827.92

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Solution

The fourth proportional to 14,920.98, 22,379.80 and 3,827.92 is: 5,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.98 : 22,379.80 = 3,827.92 : x
  2. Step 2: Convert to fraction form
    14,920.98/22,379.80 = 3,827.92/x
  3. Step 3: Cross multiply
    14,920.98x = 22,379.80 × 3,827.92
  4. Step 4: Simplify right side
    14,920.98x = 85,668,084.02
  5. Step 5: Solve for x
    x = 85,668,084.02/14,920.98
  6. Step 6: Final answer
    x = 5,741.45

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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.