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Finding the Fourth Proportional to 21,841.88, 32,762.82 and 6,259.50

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Solution

The fourth proportional to 21,841.88, 32,762.82 and 6,259.50 is: 9,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.88 : 32,762.82 = 6,259.50 : x
  2. Step 2: Convert to fraction form
    21,841.88/32,762.82 = 6,259.50/x
  3. Step 3: Cross multiply
    21,841.88x = 32,762.82 × 6,259.50
  4. Step 4: Simplify right side
    21,841.88x = 205,078,871.79
  5. Step 5: Solve for x
    x = 205,078,871.79/21,841.88
  6. Step 6: Final answer
    x = 9,389.25

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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.