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Finding the Fourth Proportional to 27,164.70, 40,758.75 and 14,693.50

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Solution

The fourth proportional to 27,164.70, 40,758.75 and 14,693.50 is: 22,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.70 : 40,758.75 = 14,693.50 : x
  2. Step 2: Convert to fraction form
    27,164.70/40,758.75 = 14,693.50/x
  3. Step 3: Cross multiply
    27,164.70x = 40,758.75 × 14,693.50
  4. Step 4: Simplify right side
    27,164.70x = 598,888,693.13
  5. Step 5: Solve for x
    x = 598,888,693.13/27,164.70
  6. Step 6: Final answer
    x = 22,046.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.