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Finding the Fourth Proportional to 16,803, 25,208.26 and 5,117.14

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Solution

The fourth proportional to 16,803, 25,208.26 and 5,117.14 is: 7,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803 : 25,208.26 = 5,117.14 : x
  2. Step 2: Convert to fraction form
    16,803/25,208.26 = 5,117.14/x
  3. Step 3: Cross multiply
    16,803x = 25,208.26 × 5,117.14
  4. Step 4: Simplify right side
    16,803x = 128,994,195.58
  5. Step 5: Solve for x
    x = 128,994,195.58/16,803
  6. Step 6: Final answer
    x = 7,676.86

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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.