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Finding the Fourth Proportional to 17,852.28, 26,778 and 6,164.40

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Solution

The fourth proportional to 17,852.28, 26,778 and 6,164.40 is: 9,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.28 : 26,778 = 6,164.40 : x
  2. Step 2: Convert to fraction form
    17,852.28/26,778 = 6,164.40/x
  3. Step 3: Cross multiply
    17,852.28x = 26,778 × 6,164.40
  4. Step 4: Simplify right side
    17,852.28x = 165,070,303.20
  5. Step 5: Solve for x
    x = 165,070,303.20/17,852.28
  6. Step 6: Final answer
    x = 9,246.45

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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.