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Finding the Fourth Proportional to 25,175, 34,741.56 and 13,999.16

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Solution

The fourth proportional to 25,175, 34,741.56 and 13,999.16 is: 19,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175 : 34,741.56 = 13,999.16 : x
  2. Step 2: Convert to fraction form
    25,175/34,741.56 = 13,999.16/x
  3. Step 3: Cross multiply
    25,175x = 34,741.56 × 13,999.16
  4. Step 4: Simplify right side
    25,175x = 486,352,657.09
  5. Step 5: Solve for x
    x = 486,352,657.09/25,175
  6. Step 6: Final answer
    x = 19,318.87

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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.