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Finding the Fourth Proportional to 25,831.92, 35,580.15 and 19,852.14

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Solution

The fourth proportional to 25,831.92, 35,580.15 and 19,852.14 is: 27,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831.92 : 35,580.15 = 19,852.14 : x
  2. Step 2: Convert to fraction form
    25,831.92/35,580.15 = 19,852.14/x
  3. Step 3: Cross multiply
    25,831.92x = 35,580.15 × 19,852.14
  4. Step 4: Simplify right side
    25,831.92x = 706,342,119.02
  5. Step 5: Solve for x
    x = 706,342,119.02/25,831.92
  6. Step 6: Final answer
    x = 27,343.77

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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.