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Finding the Fourth Proportional to 26,022, 35,925.84 and 17,085.16

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Solution

The fourth proportional to 26,022, 35,925.84 and 17,085.16 is: 23,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022 : 35,925.84 = 17,085.16 : x
  2. Step 2: Convert to fraction form
    26,022/35,925.84 = 17,085.16/x
  3. Step 3: Cross multiply
    26,022x = 35,925.84 × 17,085.16
  4. Step 4: Simplify right side
    26,022x = 613,798,724.53
  5. Step 5: Solve for x
    x = 613,798,724.53/26,022
  6. Step 6: Final answer
    x = 23,587.68

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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.