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Finding the Fourth Proportional to 21,078.95, 31,614.36 and 9,831.18

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Solution

The fourth proportional to 21,078.95, 31,614.36 and 9,831.18 is: 14,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.95 : 31,614.36 = 9,831.18 : x
  2. Step 2: Convert to fraction form
    21,078.95/31,614.36 = 9,831.18/x
  3. Step 3: Cross multiply
    21,078.95x = 31,614.36 × 9,831.18
  4. Step 4: Simplify right side
    21,078.95x = 310,806,463.74
  5. Step 5: Solve for x
    x = 310,806,463.74/21,078.95
  6. Step 6: Final answer
    x = 14,744.88

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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.