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Finding the Fourth Proportional to 21,402.92, 32,075.22 and 10,308.80

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Solution

The fourth proportional to 21,402.92, 32,075.22 and 10,308.80 is: 15,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.92 : 32,075.22 = 10,308.80 : x
  2. Step 2: Convert to fraction form
    21,402.92/32,075.22 = 10,308.80/x
  3. Step 3: Cross multiply
    21,402.92x = 32,075.22 × 10,308.80
  4. Step 4: Simplify right side
    21,402.92x = 330,657,027.94
  5. Step 5: Solve for x
    x = 330,657,027.94/21,402.92
  6. Step 6: Final answer
    x = 15,449.15

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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.