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Finding the Fourth Proportional to 17,133.42, 25,693.65 and 6,739.50

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Solution

The fourth proportional to 17,133.42, 25,693.65 and 6,739.50 is: 10,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,133.42 : 25,693.65 = 6,739.50 : x
  2. Step 2: Convert to fraction form
    17,133.42/25,693.65 = 6,739.50/x
  3. Step 3: Cross multiply
    17,133.42x = 25,693.65 × 6,739.50
  4. Step 4: Simplify right side
    17,133.42x = 173,162,354.18
  5. Step 5: Solve for x
    x = 173,162,354.18/17,133.42
  6. Step 6: Final answer
    x = 10,106.70

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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.