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Finding the Fourth Proportional to 21,632.50, 29,852.88 and 11,696.50

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Solution

The fourth proportional to 21,632.50, 29,852.88 and 11,696.50 is: 16,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.50 : 29,852.88 = 11,696.50 : x
  2. Step 2: Convert to fraction form
    21,632.50/29,852.88 = 11,696.50/x
  3. Step 3: Cross multiply
    21,632.50x = 29,852.88 × 11,696.50
  4. Step 4: Simplify right side
    21,632.50x = 349,174,210.92
  5. Step 5: Solve for x
    x = 349,174,210.92/21,632.50
  6. Step 6: Final answer
    x = 16,141.19

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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.