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Finding the Fourth Proportional to 27,762.32, 41,604.60 and 14,594.96

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Solution

The fourth proportional to 27,762.32, 41,604.60 and 14,594.96 is: 21,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.32 : 41,604.60 = 14,594.96 : x
  2. Step 2: Convert to fraction form
    27,762.32/41,604.60 = 14,594.96/x
  3. Step 3: Cross multiply
    27,762.32x = 41,604.60 × 14,594.96
  4. Step 4: Simplify right side
    27,762.32x = 607,217,472.82
  5. Step 5: Solve for x
    x = 607,217,472.82/27,762.32
  6. Step 6: Final answer
    x = 21,872.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.