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Finding the Fourth Proportional to 27,421.88, 37,842.24 and 14,846.64

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Solution

The fourth proportional to 27,421.88, 37,842.24 and 14,846.64 is: 20,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,421.88 : 37,842.24 = 14,846.64 : x
  2. Step 2: Convert to fraction form
    27,421.88/37,842.24 = 14,846.64/x
  3. Step 3: Cross multiply
    27,421.88x = 37,842.24 × 14,846.64
  4. Step 4: Simplify right side
    27,421.88x = 561,830,114.07
  5. Step 5: Solve for x
    x = 561,830,114.07/27,421.88
  6. Step 6: Final answer
    x = 20,488.39

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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.