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Finding the Fourth Proportional to 27,567, 38,042.64 and 14,991.84

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Solution

The fourth proportional to 27,567, 38,042.64 and 14,991.84 is: 20,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567 : 38,042.64 = 14,991.84 : x
  2. Step 2: Convert to fraction form
    27,567/38,042.64 = 14,991.84/x
  3. Step 3: Cross multiply
    27,567x = 38,042.64 × 14,991.84
  4. Step 4: Simplify right side
    27,567x = 570,329,172.06
  5. Step 5: Solve for x
    x = 570,329,172.06/27,567
  6. Step 6: Final answer
    x = 20,688.84

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1.5x scale

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.