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Finding the Fourth Proportional to 25,835.22, 35,642.16 and 16,258.23

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Solution

The fourth proportional to 25,835.22, 35,642.16 and 16,258.23 is: 22,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,835.22 : 35,642.16 = 16,258.23 : x
  2. Step 2: Convert to fraction form
    25,835.22/35,642.16 = 16,258.23/x
  3. Step 3: Cross multiply
    25,835.22x = 35,642.16 × 16,258.23
  4. Step 4: Simplify right side
    25,835.22x = 579,478,434.98
  5. Step 5: Solve for x
    x = 579,478,434.98/25,835.22
  6. Step 6: Final answer
    x = 22,429.79

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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.