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Finding the Fourth Proportional to 14,274.38, 21,411.72 and 6,377.31

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Solution

The fourth proportional to 14,274.38, 21,411.72 and 6,377.31 is: 9,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.38 : 21,411.72 = 6,377.31 : x
  2. Step 2: Convert to fraction form
    14,274.38/21,411.72 = 6,377.31/x
  3. Step 3: Cross multiply
    14,274.38x = 21,411.72 × 6,377.31
  4. Step 4: Simplify right side
    14,274.38x = 136,549,176.07
  5. Step 5: Solve for x
    x = 136,549,176.07/14,274.38
  6. Step 6: Final answer
    x = 9,566.03

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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.