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Finding the Fourth Proportional to 14,284.37, 19,712.76 and 8,317.10

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Solution

The fourth proportional to 14,284.37, 19,712.76 and 8,317.10 is: 11,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.37 : 19,712.76 = 8,317.10 : x
  2. Step 2: Convert to fraction form
    14,284.37/19,712.76 = 8,317.10/x
  3. Step 3: Cross multiply
    14,284.37x = 19,712.76 × 8,317.10
  4. Step 4: Simplify right side
    14,284.37x = 163,952,996.20
  5. Step 5: Solve for x
    x = 163,952,996.20/14,284.37
  6. Step 6: Final answer
    x = 11,477.79

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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.