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Finding the Fourth Proportional to 21,246.14, 29,320.50 and 11,814.50

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Solution

The fourth proportional to 21,246.14, 29,320.50 and 11,814.50 is: 16,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,246.14 : 29,320.50 = 11,814.50 : x
  2. Step 2: Convert to fraction form
    21,246.14/29,320.50 = 11,814.50/x
  3. Step 3: Cross multiply
    21,246.14x = 29,320.50 × 11,814.50
  4. Step 4: Simplify right side
    21,246.14x = 346,407,047.25
  5. Step 5: Solve for x
    x = 346,407,047.25/21,246.14
  6. Step 6: Final answer
    x = 16,304.47

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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.