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Finding the Fourth Proportional to 14,042.62, 21,049.35 and 5,719.06

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Solution

The fourth proportional to 14,042.62, 21,049.35 and 5,719.06 is: 8,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.62 : 21,049.35 = 5,719.06 : x
  2. Step 2: Convert to fraction form
    14,042.62/21,049.35 = 5,719.06/x
  3. Step 3: Cross multiply
    14,042.62x = 21,049.35 × 5,719.06
  4. Step 4: Simplify right side
    14,042.62x = 120,382,495.61
  5. Step 5: Solve for x
    x = 120,382,495.61/14,042.62
  6. Step 6: Final answer
    x = 8,572.65

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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.