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Finding the Fourth Proportional to 25,741.09, 35,520.74 and 14,407.99

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Solution

The fourth proportional to 25,741.09, 35,520.74 and 14,407.99 is: 19,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.09 : 35,520.74 = 14,407.99 : x
  2. Step 2: Convert to fraction form
    25,741.09/35,520.74 = 14,407.99/x
  3. Step 3: Cross multiply
    25,741.09x = 35,520.74 × 14,407.99
  4. Step 4: Simplify right side
    25,741.09x = 511,782,217.07
  5. Step 5: Solve for x
    x = 511,782,217.07/25,741.09
  6. Step 6: Final answer
    x = 19,881.92

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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.