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Finding the Fourth Proportional to 25,744.16, 35,498.88 and 22,357.05

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Solution

The fourth proportional to 25,744.16, 35,498.88 and 22,357.05 is: 30,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,744.16 : 35,498.88 = 22,357.05 : x
  2. Step 2: Convert to fraction form
    25,744.16/35,498.88 = 22,357.05/x
  3. Step 3: Cross multiply
    25,744.16x = 35,498.88 × 22,357.05
  4. Step 4: Simplify right side
    25,744.16x = 793,650,235.10
  5. Step 5: Solve for x
    x = 793,650,235.10/25,744.16
  6. Step 6: Final answer
    x = 30,828.37

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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.