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Finding the Fourth Proportional to 14,462.75, 21,678.94 and 7,057.02

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Solution

The fourth proportional to 14,462.75, 21,678.94 and 7,057.02 is: 10,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.75 : 21,678.94 = 7,057.02 : x
  2. Step 2: Convert to fraction form
    14,462.75/21,678.94 = 7,057.02/x
  3. Step 3: Cross multiply
    14,462.75x = 21,678.94 × 7,057.02
  4. Step 4: Simplify right side
    14,462.75x = 152,988,803.28
  5. Step 5: Solve for x
    x = 152,988,803.28/14,462.75
  6. Step 6: Final answer
    x = 10,578.12

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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.