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Finding the Fourth Proportional to 21,200.90, 31,802.02 and 10,665.16

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Solution

The fourth proportional to 21,200.90, 31,802.02 and 10,665.16 is: 15,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.90 : 31,802.02 = 10,665.16 : x
  2. Step 2: Convert to fraction form
    21,200.90/31,802.02 = 10,665.16/x
  3. Step 3: Cross multiply
    21,200.90x = 31,802.02 × 10,665.16
  4. Step 4: Simplify right side
    21,200.90x = 339,173,525.46
  5. Step 5: Solve for x
    x = 339,173,525.46/21,200.90
  6. Step 6: Final answer
    x = 15,998.08

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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.