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Finding the Fourth Proportional to 21,287.34, 31,929.04 and 10,040.10

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Solution

The fourth proportional to 21,287.34, 31,929.04 and 10,040.10 is: 15,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,287.34 : 31,929.04 = 10,040.10 : x
  2. Step 2: Convert to fraction form
    21,287.34/31,929.04 = 10,040.10/x
  3. Step 3: Cross multiply
    21,287.34x = 31,929.04 × 10,040.10
  4. Step 4: Simplify right side
    21,287.34x = 320,570,754.50
  5. Step 5: Solve for x
    x = 320,570,754.50/21,287.34
  6. Step 6: Final answer
    x = 15,059.22

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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.