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Finding the Fourth Proportional to 21,146.81, 29,180.47 and 12,647.22

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Solution

The fourth proportional to 21,146.81, 29,180.47 and 12,647.22 is: 17,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.81 : 29,180.47 = 12,647.22 : x
  2. Step 2: Convert to fraction form
    21,146.81/29,180.47 = 12,647.22/x
  3. Step 3: Cross multiply
    21,146.81x = 29,180.47 × 12,647.22
  4. Step 4: Simplify right side
    21,146.81x = 369,051,870.60
  5. Step 5: Solve for x
    x = 369,051,870.60/21,146.81
  6. Step 6: Final answer
    x = 17,451.90

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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.