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Finding the Fourth Proportional to 21,075.56, 31,594.71 and 8,606

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Solution

The fourth proportional to 21,075.56, 31,594.71 and 8,606 is: 12,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.56 : 31,594.71 = 8,606 : x
  2. Step 2: Convert to fraction form
    21,075.56/31,594.71 = 8,606/x
  3. Step 3: Cross multiply
    21,075.56x = 31,594.71 × 8,606
  4. Step 4: Simplify right side
    21,075.56x = 271,904,074.26
  5. Step 5: Solve for x
    x = 271,904,074.26/21,075.56
  6. Step 6: Final answer
    x = 12,901.39

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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.