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Finding the Fourth Proportional to 14,317.50, 19,766.79 and 9,358.14

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Solution

The fourth proportional to 14,317.50, 19,766.79 and 9,358.14 is: 12,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,317.50 : 19,766.79 = 9,358.14 : x
  2. Step 2: Convert to fraction form
    14,317.50/19,766.79 = 9,358.14/x
  3. Step 3: Cross multiply
    14,317.50x = 19,766.79 × 9,358.14
  4. Step 4: Simplify right side
    14,317.50x = 184,980,388.17
  5. Step 5: Solve for x
    x = 184,980,388.17/14,317.50
  6. Step 6: Final answer
    x = 12,919.88

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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.