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Finding the Fourth Proportional to 27,214.84, 40,831.10 and 13,354.12

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Solution

The fourth proportional to 27,214.84, 40,831.10 and 13,354.12 is: 20,035.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.84 : 40,831.10 = 13,354.12 : x
  2. Step 2: Convert to fraction form
    27,214.84/40,831.10 = 13,354.12/x
  3. Step 3: Cross multiply
    27,214.84x = 40,831.10 × 13,354.12
  4. Step 4: Simplify right side
    27,214.84x = 545,263,409.13
  5. Step 5: Solve for x
    x = 545,263,409.13/27,214.84
  6. Step 6: Final answer
    x = 20,035.52

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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.