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Finding the Fourth Proportional to 14,852.89, 20,480.19 and 9,468.14

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Solution

The fourth proportional to 14,852.89, 20,480.19 and 9,468.14 is: 13,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.89 : 20,480.19 = 9,468.14 : x
  2. Step 2: Convert to fraction form
    14,852.89/20,480.19 = 9,468.14/x
  3. Step 3: Cross multiply
    14,852.89x = 20,480.19 × 9,468.14
  4. Step 4: Simplify right side
    14,852.89x = 193,909,306.15
  5. Step 5: Solve for x
    x = 193,909,306.15/14,852.89
  6. Step 6: Final answer
    x = 13,055.33

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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.