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Finding the Fourth Proportional to 21,075.70, 31,618.14 and 6,285.82

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Solution

The fourth proportional to 21,075.70, 31,618.14 and 6,285.82 is: 9,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.70 : 31,618.14 = 6,285.82 : x
  2. Step 2: Convert to fraction form
    21,075.70/31,618.14 = 6,285.82/x
  3. Step 3: Cross multiply
    21,075.70x = 31,618.14 × 6,285.82
  4. Step 4: Simplify right side
    21,075.70x = 198,745,936.77
  5. Step 5: Solve for x
    x = 198,745,936.77/21,075.70
  6. Step 6: Final answer
    x = 9,430.10

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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.