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Finding the Fourth Proportional to 17,051.74, 25,577.02 and 5,205.04

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Solution

The fourth proportional to 17,051.74, 25,577.02 and 5,205.04 is: 7,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.74 : 25,577.02 = 5,205.04 : x
  2. Step 2: Convert to fraction form
    17,051.74/25,577.02 = 5,205.04/x
  3. Step 3: Cross multiply
    17,051.74x = 25,577.02 × 5,205.04
  4. Step 4: Simplify right side
    17,051.74x = 133,129,412.18
  5. Step 5: Solve for x
    x = 133,129,412.18/17,051.74
  6. Step 6: Final answer
    x = 7,807.38

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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.