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Finding the Fourth Proportional to 21,651, 32,476.50 and 5,235

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Solution

The fourth proportional to 21,651, 32,476.50 and 5,235 is: 7,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651 : 32,476.50 = 5,235 : x
  2. Step 2: Convert to fraction form
    21,651/32,476.50 = 5,235/x
  3. Step 3: Cross multiply
    21,651x = 32,476.50 × 5,235
  4. Step 4: Simplify right side
    21,651x = 170,014,477.50
  5. Step 5: Solve for x
    x = 170,014,477.50/21,651
  6. Step 6: Final answer
    x = 7,852.50

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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.