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Finding the Fourth Proportional to 25,686.68, 35,448.32 and 14,508.68

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Solution

The fourth proportional to 25,686.68, 35,448.32 and 14,508.68 is: 20,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.68 : 35,448.32 = 14,508.68 : x
  2. Step 2: Convert to fraction form
    25,686.68/35,448.32 = 14,508.68/x
  3. Step 3: Cross multiply
    25,686.68x = 35,448.32 × 14,508.68
  4. Step 4: Simplify right side
    25,686.68x = 514,308,331.42
  5. Step 5: Solve for x
    x = 514,308,331.42/25,686.68
  6. Step 6: Final answer
    x = 20,022.37

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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.