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Finding the Fourth Proportional to 21,762, 32,638.42 and 10,657.50

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Solution

The fourth proportional to 21,762, 32,638.42 and 10,657.50 is: 15,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762 : 32,638.42 = 10,657.50 : x
  2. Step 2: Convert to fraction form
    21,762/32,638.42 = 10,657.50/x
  3. Step 3: Cross multiply
    21,762x = 32,638.42 × 10,657.50
  4. Step 4: Simplify right side
    21,762x = 347,843,961.15
  5. Step 5: Solve for x
    x = 347,843,961.15/21,762
  6. Step 6: Final answer
    x = 15,984.01

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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.