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Finding the Fourth Proportional to 14,323.41, 19,768.32 and 8,358.30

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Solution

The fourth proportional to 14,323.41, 19,768.32 and 8,358.30 is: 11,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.41 : 19,768.32 = 8,358.30 : x
  2. Step 2: Convert to fraction form
    14,323.41/19,768.32 = 8,358.30/x
  3. Step 3: Cross multiply
    14,323.41x = 19,768.32 × 8,358.30
  4. Step 4: Simplify right side
    14,323.41x = 165,229,549.06
  5. Step 5: Solve for x
    x = 165,229,549.06/14,323.41
  6. Step 6: Final answer
    x = 11,535.63

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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.