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Finding the Fourth Proportional to 13,124.64, 19,673.28 and 5,727.12

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Solution

The fourth proportional to 13,124.64, 19,673.28 and 5,727.12 is: 8,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124.64 : 19,673.28 = 5,727.12 : x
  2. Step 2: Convert to fraction form
    13,124.64/19,673.28 = 5,727.12/x
  3. Step 3: Cross multiply
    13,124.64x = 19,673.28 × 5,727.12
  4. Step 4: Simplify right side
    13,124.64x = 112,671,235.35
  5. Step 5: Solve for x
    x = 112,671,235.35/13,124.64
  6. Step 6: Final answer
    x = 8,584.71

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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.