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Finding the Fourth Proportional to 25,840.97, 35,663.28 and 16,409.53

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Solution

The fourth proportional to 25,840.97, 35,663.28 and 16,409.53 is: 22,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840.97 : 35,663.28 = 16,409.53 : x
  2. Step 2: Convert to fraction form
    25,840.97/35,663.28 = 16,409.53/x
  3. Step 3: Cross multiply
    25,840.97x = 35,663.28 × 16,409.53
  4. Step 4: Simplify right side
    25,840.97x = 585,217,646.10
  5. Step 5: Solve for x
    x = 585,217,646.10/25,840.97
  6. Step 6: Final answer
    x = 22,646.89

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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.