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Finding the Fourth Proportional to 27,567.34, 38,042.66 and 14,992.08

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Solution

The fourth proportional to 27,567.34, 38,042.66 and 14,992.08 is: 20,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567.34 : 38,042.66 = 14,992.08 : x
  2. Step 2: Convert to fraction form
    27,567.34/38,042.66 = 14,992.08/x
  3. Step 3: Cross multiply
    27,567.34x = 38,042.66 × 14,992.08
  4. Step 4: Simplify right side
    27,567.34x = 570,338,602.13
  5. Step 5: Solve for x
    x = 570,338,602.13/27,567.34
  6. Step 6: Final answer
    x = 20,688.92

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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.