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Finding the Fourth Proportional to 20,592.16, 30,852.94 and 13,825.07

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Solution

The fourth proportional to 20,592.16, 30,852.94 and 13,825.07 is: 20,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592.16 : 30,852.94 = 13,825.07 : x
  2. Step 2: Convert to fraction form
    20,592.16/30,852.94 = 13,825.07/x
  3. Step 3: Cross multiply
    20,592.16x = 30,852.94 × 13,825.07
  4. Step 4: Simplify right side
    20,592.16x = 426,543,831.82
  5. Step 5: Solve for x
    x = 426,543,831.82/20,592.16
  6. Step 6: Final answer
    x = 20,713.90

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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.