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Finding the Fourth Proportional to 16,697.14, 25,046.01 and 7,810.02

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Solution

The fourth proportional to 16,697.14, 25,046.01 and 7,810.02 is: 11,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.14 : 25,046.01 = 7,810.02 : x
  2. Step 2: Convert to fraction form
    16,697.14/25,046.01 = 7,810.02/x
  3. Step 3: Cross multiply
    16,697.14x = 25,046.01 × 7,810.02
  4. Step 4: Simplify right side
    16,697.14x = 195,609,839.02
  5. Step 5: Solve for x
    x = 195,609,839.02/16,697.14
  6. Step 6: Final answer
    x = 11,715.17

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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.