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Finding the Fourth Proportional to 16,994, 25,486.14 and 7,135.49

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Solution

The fourth proportional to 16,994, 25,486.14 and 7,135.49 is: 10,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,994 : 25,486.14 = 7,135.49 : x
  2. Step 2: Convert to fraction form
    16,994/25,486.14 = 7,135.49/x
  3. Step 3: Cross multiply
    16,994x = 25,486.14 × 7,135.49
  4. Step 4: Simplify right side
    16,994x = 181,856,097.11
  5. Step 5: Solve for x
    x = 181,856,097.11/16,994
  6. Step 6: Final answer
    x = 10,701.19

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Why These Related Problems?

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