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Finding the Fourth Proportional to 21,378.50, 29,501.78 and 11,947.14

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Solution

The fourth proportional to 21,378.50, 29,501.78 and 11,947.14 is: 16,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.50 : 29,501.78 = 11,947.14 : x
  2. Step 2: Convert to fraction form
    21,378.50/29,501.78 = 11,947.14/x
  3. Step 3: Cross multiply
    21,378.50x = 29,501.78 × 11,947.14
  4. Step 4: Simplify right side
    21,378.50x = 352,461,895.91
  5. Step 5: Solve for x
    x = 352,461,895.91/21,378.50
  6. Step 6: Final answer
    x = 16,486.75

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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.