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Finding the Fourth Proportional to 27,410.25, 37,826.16 and 14,835

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Solution

The fourth proportional to 27,410.25, 37,826.16 and 14,835 is: 20,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410.25 : 37,826.16 = 14,835 : x
  2. Step 2: Convert to fraction form
    27,410.25/37,826.16 = 14,835/x
  3. Step 3: Cross multiply
    27,410.25x = 37,826.16 × 14,835
  4. Step 4: Simplify right side
    27,410.25x = 561,151,083.60
  5. Step 5: Solve for x
    x = 561,151,083.60/27,410.25
  6. Step 6: Final answer
    x = 20,472.31

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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.