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Finding the Fourth Proportional to 27,402.14, 37,815 and 14,826.90

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Solution

The fourth proportional to 27,402.14, 37,815 and 14,826.90 is: 20,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.14 : 37,815 = 14,826.90 : x
  2. Step 2: Convert to fraction form
    27,402.14/37,815 = 14,826.90/x
  3. Step 3: Cross multiply
    27,402.14x = 37,815 × 14,826.90
  4. Step 4: Simplify right side
    27,402.14x = 560,679,223.50
  5. Step 5: Solve for x
    x = 560,679,223.50/27,402.14
  6. Step 6: Final answer
    x = 20,461.15

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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.