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Finding the Fourth Proportional to 26,831.40, 40,201.42 and 17,457.16

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Solution

The fourth proportional to 26,831.40, 40,201.42 and 17,457.16 is: 26,156.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,831.40 : 40,201.42 = 17,457.16 : x
  2. Step 2: Convert to fraction form
    26,831.40/40,201.42 = 17,457.16/x
  3. Step 3: Cross multiply
    26,831.40x = 40,201.42 × 17,457.16
  4. Step 4: Simplify right side
    26,831.40x = 701,802,621.17
  5. Step 5: Solve for x
    x = 701,802,621.17/26,831.40
  6. Step 6: Final answer
    x = 26,156.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.