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Finding the Fourth Proportional to 25,401.86, 35,054.64 and 14,223.86

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Solution

The fourth proportional to 25,401.86, 35,054.64 and 14,223.86 is: 19,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,401.86 : 35,054.64 = 14,223.86 : x
  2. Step 2: Convert to fraction form
    25,401.86/35,054.64 = 14,223.86/x
  3. Step 3: Cross multiply
    25,401.86x = 35,054.64 × 14,223.86
  4. Step 4: Simplify right side
    25,401.86x = 498,612,291.71
  5. Step 5: Solve for x
    x = 498,612,291.71/25,401.86
  6. Step 6: Final answer
    x = 19,628.97

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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.