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Finding the Fourth Proportional to 21,840.84, 32,762.10 and 7,050

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Solution

The fourth proportional to 21,840.84, 32,762.10 and 7,050 is: 10,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840.84 : 32,762.10 = 7,050 : x
  2. Step 2: Convert to fraction form
    21,840.84/32,762.10 = 7,050/x
  3. Step 3: Cross multiply
    21,840.84x = 32,762.10 × 7,050
  4. Step 4: Simplify right side
    21,840.84x = 230,972,805
  5. Step 5: Solve for x
    x = 230,972,805/21,840.84
  6. Step 6: Final answer
    x = 10,575.27

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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.