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Finding the Fourth Proportional to 14,321.40, 19,764.06 and 8,352.12

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Solution

The fourth proportional to 14,321.40, 19,764.06 and 8,352.12 is: 11,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.40 : 19,764.06 = 8,352.12 : x
  2. Step 2: Convert to fraction form
    14,321.40/19,764.06 = 8,352.12/x
  3. Step 3: Cross multiply
    14,321.40x = 19,764.06 × 8,352.12
  4. Step 4: Simplify right side
    14,321.40x = 165,071,800.81
  5. Step 5: Solve for x
    x = 165,071,800.81/14,321.40
  6. Step 6: Final answer
    x = 11,526.23

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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.