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Finding the Fourth Proportional to 14,463.92, 21,696.60 and 4,075.76

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Solution

The fourth proportional to 14,463.92, 21,696.60 and 4,075.76 is: 6,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.92 : 21,696.60 = 4,075.76 : x
  2. Step 2: Convert to fraction form
    14,463.92/21,696.60 = 4,075.76/x
  3. Step 3: Cross multiply
    14,463.92x = 21,696.60 × 4,075.76
  4. Step 4: Simplify right side
    14,463.92x = 88,430,134.42
  5. Step 5: Solve for x
    x = 88,430,134.42/14,463.92
  6. Step 6: Final answer
    x = 6,113.84

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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.