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Finding the Fourth Proportional to 21,802.65, 32,689.08 and 11,268.33

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Solution

The fourth proportional to 21,802.65, 32,689.08 and 11,268.33 is: 16,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.65 : 32,689.08 = 11,268.33 : x
  2. Step 2: Convert to fraction form
    21,802.65/32,689.08 = 11,268.33/x
  3. Step 3: Cross multiply
    21,802.65x = 32,689.08 × 11,268.33
  4. Step 4: Simplify right side
    21,802.65x = 368,351,340.84
  5. Step 5: Solve for x
    x = 368,351,340.84/21,802.65
  6. Step 6: Final answer
    x = 16,894.80

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Why These Related Problems?

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