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Finding the Fourth Proportional to 25,866.96, 35,696.40 and 14,688.96

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Solution

The fourth proportional to 25,866.96, 35,696.40 and 14,688.96 is: 20,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.96 : 35,696.40 = 14,688.96 : x
  2. Step 2: Convert to fraction form
    25,866.96/35,696.40 = 14,688.96/x
  3. Step 3: Cross multiply
    25,866.96x = 35,696.40 × 14,688.96
  4. Step 4: Simplify right side
    25,866.96x = 524,342,991.74
  5. Step 5: Solve for x
    x = 524,342,991.74/25,866.96
  6. Step 6: Final answer
    x = 20,270.76

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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.