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Finding the Fourth Proportional to 27,567.50, 38,043.15 and 14,992.52

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Solution

The fourth proportional to 27,567.50, 38,043.15 and 14,992.52 is: 20,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567.50 : 38,043.15 = 14,992.52 : x
  2. Step 2: Convert to fraction form
    27,567.50/38,043.15 = 14,992.52/x
  3. Step 3: Cross multiply
    27,567.50x = 38,043.15 × 14,992.52
  4. Step 4: Simplify right side
    27,567.50x = 570,362,687.24
  5. Step 5: Solve for x
    x = 570,362,687.24/27,567.50
  6. Step 6: Final answer
    x = 20,689.68

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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.