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Finding the Fourth Proportional to 21,505.50, 29,680.02 and 12,077.10

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Solution

The fourth proportional to 21,505.50, 29,680.02 and 12,077.10 is: 16,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.50 : 29,680.02 = 12,077.10 : x
  2. Step 2: Convert to fraction form
    21,505.50/29,680.02 = 12,077.10/x
  3. Step 3: Cross multiply
    21,505.50x = 29,680.02 × 12,077.10
  4. Step 4: Simplify right side
    21,505.50x = 358,448,569.54
  5. Step 5: Solve for x
    x = 358,448,569.54/21,505.50
  6. Step 6: Final answer
    x = 16,667.76

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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.