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Finding the Fourth Proportional to 27,205.01, 40,782.89 and 9,670.74

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Solution

The fourth proportional to 27,205.01, 40,782.89 and 9,670.74 is: 14,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.01 : 40,782.89 = 9,670.74 : x
  2. Step 2: Convert to fraction form
    27,205.01/40,782.89 = 9,670.74/x
  3. Step 3: Cross multiply
    27,205.01x = 40,782.89 × 9,670.74
  4. Step 4: Simplify right side
    27,205.01x = 394,400,521.72
  5. Step 5: Solve for x
    x = 394,400,521.72/27,205.01
  6. Step 6: Final answer
    x = 14,497.35

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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.