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Finding the Fourth Proportional to 19,312.26, 28,967.94 and 6,164.43

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Solution

The fourth proportional to 19,312.26, 28,967.94 and 6,164.43 is: 9,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,312.26 : 28,967.94 = 6,164.43 : x
  2. Step 2: Convert to fraction form
    19,312.26/28,967.94 = 6,164.43/x
  3. Step 3: Cross multiply
    19,312.26x = 28,967.94 × 6,164.43
  4. Step 4: Simplify right side
    19,312.26x = 178,570,838.37
  5. Step 5: Solve for x
    x = 178,570,838.37/19,312.26
  6. Step 6: Final answer
    x = 9,246.50

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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.