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Finding the Fourth Proportional to 14,851.80, 22,277.70 and 14,419.80

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Solution

The fourth proportional to 14,851.80, 22,277.70 and 14,419.80 is: 21,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,851.80 : 22,277.70 = 14,419.80 : x
  2. Step 2: Convert to fraction form
    14,851.80/22,277.70 = 14,419.80/x
  3. Step 3: Cross multiply
    14,851.80x = 22,277.70 × 14,419.80
  4. Step 4: Simplify right side
    14,851.80x = 321,239,978.46
  5. Step 5: Solve for x
    x = 321,239,978.46/14,851.80
  6. Step 6: Final answer
    x = 21,629.70

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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.