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Finding the Fourth Proportional to 27,405, 37,819.17 and 14,830.02

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Solution

The fourth proportional to 27,405, 37,819.17 and 14,830.02 is: 20,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405 : 37,819.17 = 14,830.02 : x
  2. Step 2: Convert to fraction form
    27,405/37,819.17 = 14,830.02/x
  3. Step 3: Cross multiply
    27,405x = 37,819.17 × 14,830.02
  4. Step 4: Simplify right side
    27,405x = 560,859,047.48
  5. Step 5: Solve for x
    x = 560,859,047.48/27,405
  6. Step 6: Final answer
    x = 20,465.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.