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Finding the Fourth Proportional to 25,745.35, 35,526.90 and 14,414.74

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Solution

The fourth proportional to 25,745.35, 35,526.90 and 14,414.74 is: 19,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745.35 : 35,526.90 = 14,414.74 : x
  2. Step 2: Convert to fraction form
    25,745.35/35,526.90 = 14,414.74/x
  3. Step 3: Cross multiply
    25,745.35x = 35,526.90 × 14,414.74
  4. Step 4: Simplify right side
    25,745.35x = 512,111,026.51
  5. Step 5: Solve for x
    x = 512,111,026.51/25,745.35
  6. Step 6: Final answer
    x = 19,891.40

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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.