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Finding the Fourth Proportional to 25,696.27, 35,462.50 and 14,365.81

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Solution

The fourth proportional to 25,696.27, 35,462.50 and 14,365.81 is: 19,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.27 : 35,462.50 = 14,365.81 : x
  2. Step 2: Convert to fraction form
    25,696.27/35,462.50 = 14,365.81/x
  3. Step 3: Cross multiply
    25,696.27x = 35,462.50 × 14,365.81
  4. Step 4: Simplify right side
    25,696.27x = 509,447,537.13
  5. Step 5: Solve for x
    x = 509,447,537.13/25,696.27
  6. Step 6: Final answer
    x = 19,825.74

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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.