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Finding the Fourth Proportional to 23,694.40, 32,697.76 and 13,084

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Solution

The fourth proportional to 23,694.40, 32,697.76 and 13,084 is: 18,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.40 : 32,697.76 = 13,084 : x
  2. Step 2: Convert to fraction form
    23,694.40/32,697.76 = 13,084/x
  3. Step 3: Cross multiply
    23,694.40x = 32,697.76 × 13,084
  4. Step 4: Simplify right side
    23,694.40x = 427,817,491.84
  5. Step 5: Solve for x
    x = 427,817,491.84/23,694.40
  6. Step 6: Final answer
    x = 18,055.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.