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Finding the Fourth Proportional to 12,831.60, 19,261.80 and 9,922.80

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Solution

The fourth proportional to 12,831.60, 19,261.80 and 9,922.80 is: 14,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.60 : 19,261.80 = 9,922.80 : x
  2. Step 2: Convert to fraction form
    12,831.60/19,261.80 = 9,922.80/x
  3. Step 3: Cross multiply
    12,831.60x = 19,261.80 × 9,922.80
  4. Step 4: Simplify right side
    12,831.60x = 191,130,989.04
  5. Step 5: Solve for x
    x = 191,130,989.04/12,831.60
  6. Step 6: Final answer
    x = 14,895.34

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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.