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Finding the Fourth Proportional to 25,742.68, 35,524.56 and 14,564.68

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Solution

The fourth proportional to 25,742.68, 35,524.56 and 14,564.68 is: 20,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,742.68 : 35,524.56 = 14,564.68 : x
  2. Step 2: Convert to fraction form
    25,742.68/35,524.56 = 14,564.68/x
  3. Step 3: Cross multiply
    25,742.68x = 35,524.56 × 14,564.68
  4. Step 4: Simplify right side
    25,742.68x = 517,403,848.54
  5. Step 5: Solve for x
    x = 517,403,848.54/25,742.68
  6. Step 6: Final answer
    x = 20,099.07

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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.