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Finding the Fourth Proportional to 27,597.48, 38,084.22 and 15,022.14

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Solution

The fourth proportional to 27,597.48, 38,084.22 and 15,022.14 is: 20,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.48 : 38,084.22 = 15,022.14 : x
  2. Step 2: Convert to fraction form
    27,597.48/38,084.22 = 15,022.14/x
  3. Step 3: Cross multiply
    27,597.48x = 38,084.22 × 15,022.14
  4. Step 4: Simplify right side
    27,597.48x = 572,106,484.63
  5. Step 5: Solve for x
    x = 572,106,484.63/27,597.48
  6. Step 6: Final answer
    x = 20,730.39

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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.