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Finding the Fourth Proportional to 14,284.89, 19,714.41 and 8,317.13

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Solution

The fourth proportional to 14,284.89, 19,714.41 and 8,317.13 is: 11,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.89 : 19,714.41 = 8,317.13 : x
  2. Step 2: Convert to fraction form
    14,284.89/19,714.41 = 8,317.13/x
  3. Step 3: Cross multiply
    14,284.89x = 19,714.41 × 8,317.13
  4. Step 4: Simplify right side
    14,284.89x = 163,967,212.27
  5. Step 5: Solve for x
    x = 163,967,212.27/14,284.89
  6. Step 6: Final answer
    x = 11,478.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.