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Finding the Fourth Proportional to 25,683.84, 35,424.68 and 16,243.28

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Solution

The fourth proportional to 25,683.84, 35,424.68 and 16,243.28 is: 22,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,683.84 : 35,424.68 = 16,243.28 : x
  2. Step 2: Convert to fraction form
    25,683.84/35,424.68 = 16,243.28/x
  3. Step 3: Cross multiply
    25,683.84x = 35,424.68 × 16,243.28
  4. Step 4: Simplify right side
    25,683.84x = 575,412,996.15
  5. Step 5: Solve for x
    x = 575,412,996.15/25,683.84
  6. Step 6: Final answer
    x = 22,403.70

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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.