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Finding the Fourth Proportional to 14,482.54, 21,709.02 and 5,705.38

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Solution

The fourth proportional to 14,482.54, 21,709.02 and 5,705.38 is: 8,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482.54 : 21,709.02 = 5,705.38 : x
  2. Step 2: Convert to fraction form
    14,482.54/21,709.02 = 5,705.38/x
  3. Step 3: Cross multiply
    14,482.54x = 21,709.02 × 5,705.38
  4. Step 4: Simplify right side
    14,482.54x = 123,858,208.53
  5. Step 5: Solve for x
    x = 123,858,208.53/14,482.54
  6. Step 6: Final answer
    x = 8,552.24

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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.