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Finding the Fourth Proportional to 27,417.34, 37,835.76 and 14,842

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Solution

The fourth proportional to 27,417.34, 37,835.76 and 14,842 is: 20,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.34 : 37,835.76 = 14,842 : x
  2. Step 2: Convert to fraction form
    27,417.34/37,835.76 = 14,842/x
  3. Step 3: Cross multiply
    27,417.34x = 37,835.76 × 14,842
  4. Step 4: Simplify right side
    27,417.34x = 561,558,349.92
  5. Step 5: Solve for x
    x = 561,558,349.92/27,417.34
  6. Step 6: Final answer
    x = 20,481.87

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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.