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Finding the Fourth Proportional to 25,634.57, 35,375.74 and 14,303.77

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Solution

The fourth proportional to 25,634.57, 35,375.74 and 14,303.77 is: 19,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,634.57 : 35,375.74 = 14,303.77 : x
  2. Step 2: Convert to fraction form
    25,634.57/35,375.74 = 14,303.77/x
  3. Step 3: Cross multiply
    25,634.57x = 35,375.74 × 14,303.77
  4. Step 4: Simplify right side
    25,634.57x = 506,006,324.34
  5. Step 5: Solve for x
    x = 506,006,324.34/25,634.57
  6. Step 6: Final answer
    x = 19,739.22

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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.