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Finding the Fourth Proportional to 14,405.79, 19,880 and 8,032.96

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Solution

The fourth proportional to 14,405.79, 19,880 and 8,032.96 is: 11,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.79 : 19,880 = 8,032.96 : x
  2. Step 2: Convert to fraction form
    14,405.79/19,880 = 8,032.96/x
  3. Step 3: Cross multiply
    14,405.79x = 19,880 × 8,032.96
  4. Step 4: Simplify right side
    14,405.79x = 159,695,244.80
  5. Step 5: Solve for x
    x = 159,695,244.80/14,405.79
  6. Step 6: Final answer
    x = 11,085.49

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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.