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Finding the Fourth Proportional to 27,458.64, 37,893.12 and 14,883.38

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Solution

The fourth proportional to 27,458.64, 37,893.12 and 14,883.38 is: 20,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.64 : 37,893.12 = 14,883.38 : x
  2. Step 2: Convert to fraction form
    27,458.64/37,893.12 = 14,883.38/x
  3. Step 3: Cross multiply
    27,458.64x = 37,893.12 × 14,883.38
  4. Step 4: Simplify right side
    27,458.64x = 563,977,704.35
  5. Step 5: Solve for x
    x = 563,977,704.35/27,458.64
  6. Step 6: Final answer
    x = 20,539.17

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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.