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Finding the Fourth Proportional to 17,902.75, 26,852.02 and 4,756.14

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Solution

The fourth proportional to 17,902.75, 26,852.02 and 4,756.14 is: 7,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.75 : 26,852.02 = 4,756.14 : x
  2. Step 2: Convert to fraction form
    17,902.75/26,852.02 = 4,756.14/x
  3. Step 3: Cross multiply
    17,902.75x = 26,852.02 × 4,756.14
  4. Step 4: Simplify right side
    17,902.75x = 127,711,966.40
  5. Step 5: Solve for x
    x = 127,711,966.40/17,902.75
  6. Step 6: Final answer
    x = 7,133.65

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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.