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Finding the Fourth Proportional to 22,312.65, 33,477.59 and 11,782.25

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Solution

The fourth proportional to 22,312.65, 33,477.59 and 11,782.25 is: 17,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.65 : 33,477.59 = 11,782.25 : x
  2. Step 2: Convert to fraction form
    22,312.65/33,477.59 = 11,782.25/x
  3. Step 3: Cross multiply
    22,312.65x = 33,477.59 × 11,782.25
  4. Step 4: Simplify right side
    22,312.65x = 394,441,334.78
  5. Step 5: Solve for x
    x = 394,441,334.78/22,312.65
  6. Step 6: Final answer
    x = 17,677.92

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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.