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Finding the Fourth Proportional to 12,349.28, 18,527.04 and 3,584

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Solution

The fourth proportional to 12,349.28, 18,527.04 and 3,584 is: 5,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.28 : 18,527.04 = 3,584 : x
  2. Step 2: Convert to fraction form
    12,349.28/18,527.04 = 3,584/x
  3. Step 3: Cross multiply
    12,349.28x = 18,527.04 × 3,584
  4. Step 4: Simplify right side
    12,349.28x = 66,400,911.36
  5. Step 5: Solve for x
    x = 66,400,911.36/12,349.28
  6. Step 6: Final answer
    x = 5,376.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.