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Finding the Fourth Proportional to 14,580, 21,851.28 and 7,086.96

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Solution

The fourth proportional to 14,580, 21,851.28 and 7,086.96 is: 10,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580 : 21,851.28 = 7,086.96 : x
  2. Step 2: Convert to fraction form
    14,580/21,851.28 = 7,086.96/x
  3. Step 3: Cross multiply
    14,580x = 21,851.28 × 7,086.96
  4. Step 4: Simplify right side
    14,580x = 154,859,147.31
  5. Step 5: Solve for x
    x = 154,859,147.31/14,580
  6. Step 6: Final answer
    x = 10,621.34

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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.