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Finding the Fourth Proportional to 25,382.88, 35,023.51 and 16,429.14

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Solution

The fourth proportional to 25,382.88, 35,023.51 and 16,429.14 is: 22,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382.88 : 35,023.51 = 16,429.14 : x
  2. Step 2: Convert to fraction form
    25,382.88/35,023.51 = 16,429.14/x
  3. Step 3: Cross multiply
    25,382.88x = 35,023.51 × 16,429.14
  4. Step 4: Simplify right side
    25,382.88x = 575,405,932.89
  5. Step 5: Solve for x
    x = 575,405,932.89/25,382.88
  6. Step 6: Final answer
    x = 22,669.06

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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.