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Finding the Fourth Proportional to 14,506.80, 21,763.80 and 4,118.52

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Solution

The fourth proportional to 14,506.80, 21,763.80 and 4,118.52 is: 6,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.80 : 21,763.80 = 4,118.52 : x
  2. Step 2: Convert to fraction form
    14,506.80/21,763.80 = 4,118.52/x
  3. Step 3: Cross multiply
    14,506.80x = 21,763.80 × 4,118.52
  4. Step 4: Simplify right side
    14,506.80x = 89,634,645.58
  5. Step 5: Solve for x
    x = 89,634,645.58/14,506.80
  6. Step 6: Final answer
    x = 6,178.80

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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.