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Finding the Fourth Proportional to 16,390.80, 24,577.56 and 7,146

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Solution

The fourth proportional to 16,390.80, 24,577.56 and 7,146 is: 10,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390.80 : 24,577.56 = 7,146 : x
  2. Step 2: Convert to fraction form
    16,390.80/24,577.56 = 7,146/x
  3. Step 3: Cross multiply
    16,390.80x = 24,577.56 × 7,146
  4. Step 4: Simplify right side
    16,390.80x = 175,631,243.76
  5. Step 5: Solve for x
    x = 175,631,243.76/16,390.80
  6. Step 6: Final answer
    x = 10,715.23

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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.