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Finding the Fourth Proportional to 27,746.70, 41,567.27 and 16,478.16

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Solution

The fourth proportional to 27,746.70, 41,567.27 and 16,478.16 is: 24,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746.70 : 41,567.27 = 16,478.16 : x
  2. Step 2: Convert to fraction form
    27,746.70/41,567.27 = 16,478.16/x
  3. Step 3: Cross multiply
    27,746.70x = 41,567.27 × 16,478.16
  4. Step 4: Simplify right side
    27,746.70x = 684,952,043.43
  5. Step 5: Solve for x
    x = 684,952,043.43/27,746.70
  6. Step 6: Final answer
    x = 24,685.89

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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.