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Finding the Fourth Proportional to 27,567.42, 38,042.76 and 14,992.20

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Solution

The fourth proportional to 27,567.42, 38,042.76 and 14,992.20 is: 20,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567.42 : 38,042.76 = 14,992.20 : x
  2. Step 2: Convert to fraction form
    27,567.42/38,042.76 = 14,992.20/x
  3. Step 3: Cross multiply
    27,567.42x = 38,042.76 × 14,992.20
  4. Step 4: Simplify right side
    27,567.42x = 570,344,666.47
  5. Step 5: Solve for x
    x = 570,344,666.47/27,567.42
  6. Step 6: Final answer
    x = 20,689.08

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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.