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Finding the Fourth Proportional to 14,198.63, 21,300.67 and 6,407.44

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Solution

The fourth proportional to 14,198.63, 21,300.67 and 6,407.44 is: 9,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.63 : 21,300.67 = 6,407.44 : x
  2. Step 2: Convert to fraction form
    14,198.63/21,300.67 = 6,407.44/x
  3. Step 3: Cross multiply
    14,198.63x = 21,300.67 × 6,407.44
  4. Step 4: Simplify right side
    14,198.63x = 136,482,719.74
  5. Step 5: Solve for x
    x = 136,482,719.74/14,198.63
  6. Step 6: Final answer
    x = 9,612.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.