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Finding the Fourth Proportional to 25,842.35, 35,664.22 and 14,358.65

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Solution

The fourth proportional to 25,842.35, 35,664.22 and 14,358.65 is: 19,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.35 : 35,664.22 = 14,358.65 : x
  2. Step 2: Convert to fraction form
    25,842.35/35,664.22 = 14,358.65/x
  3. Step 3: Cross multiply
    25,842.35x = 35,664.22 × 14,358.65
  4. Step 4: Simplify right side
    25,842.35x = 512,089,952.05
  5. Step 5: Solve for x
    x = 512,089,952.05/25,842.35
  6. Step 6: Final answer
    x = 19,815.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.