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Finding the Fourth Proportional to 16,809.85, 25,214.74 and 5,123.06

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Solution

The fourth proportional to 16,809.85, 25,214.74 and 5,123.06 is: 7,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.85 : 25,214.74 = 5,123.06 : x
  2. Step 2: Convert to fraction form
    16,809.85/25,214.74 = 5,123.06/x
  3. Step 3: Cross multiply
    16,809.85x = 25,214.74 × 5,123.06
  4. Step 4: Simplify right side
    16,809.85x = 129,176,752.23
  5. Step 5: Solve for x
    x = 129,176,752.23/16,809.85
  6. Step 6: Final answer
    x = 7,684.59

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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.