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Finding the Fourth Proportional to 16,802.56, 25,209.31 and 8,038.16

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Solution

The fourth proportional to 16,802.56, 25,209.31 and 8,038.16 is: 12,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.56 : 25,209.31 = 8,038.16 : x
  2. Step 2: Convert to fraction form
    16,802.56/25,209.31 = 8,038.16/x
  3. Step 3: Cross multiply
    16,802.56x = 25,209.31 × 8,038.16
  4. Step 4: Simplify right side
    16,802.56x = 202,636,467.27
  5. Step 5: Solve for x
    x = 202,636,467.27/16,802.56
  6. Step 6: Final answer
    x = 12,059.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.