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Finding the Fourth Proportional to 20,023.84, 27,662.21 and 15,802.93

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Solution

The fourth proportional to 20,023.84, 27,662.21 and 15,802.93 is: 21,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.84 : 27,662.21 = 15,802.93 : x
  2. Step 2: Convert to fraction form
    20,023.84/27,662.21 = 15,802.93/x
  3. Step 3: Cross multiply
    20,023.84x = 27,662.21 × 15,802.93
  4. Step 4: Simplify right side
    20,023.84x = 437,143,968.28
  5. Step 5: Solve for x
    x = 437,143,968.28/20,023.84
  6. Step 6: Final answer
    x = 21,831.18

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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.