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Finding the Fourth Proportional to 20,075.40, 30,096.36 and 12,677.76

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Solution

The fourth proportional to 20,075.40, 30,096.36 and 12,677.76 is: 19,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.40 : 30,096.36 = 12,677.76 : x
  2. Step 2: Convert to fraction form
    20,075.40/30,096.36 = 12,677.76/x
  3. Step 3: Cross multiply
    20,075.40x = 30,096.36 × 12,677.76
  4. Step 4: Simplify right side
    20,075.40x = 381,554,428.95
  5. Step 5: Solve for x
    x = 381,554,428.95/20,075.40
  6. Step 6: Final answer
    x = 19,006.07

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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.