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Finding the Fourth Proportional to 25,741.72, 35,523.66 and 14,411.71

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Solution

The fourth proportional to 25,741.72, 35,523.66 and 14,411.71 is: 19,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.72 : 35,523.66 = 14,411.71 : x
  2. Step 2: Convert to fraction form
    25,741.72/35,523.66 = 14,411.71/x
  3. Step 3: Cross multiply
    25,741.72x = 35,523.66 × 14,411.71
  4. Step 4: Simplify right side
    25,741.72x = 511,956,686.06
  5. Step 5: Solve for x
    x = 511,956,686.06/25,741.72
  6. Step 6: Final answer
    x = 19,888.21

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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.