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Finding the Fourth Proportional to 17,784.80, 24,544.32 and 10,715.12

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Solution

The fourth proportional to 17,784.80, 24,544.32 and 10,715.12 is: 14,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.80 : 24,544.32 = 10,715.12 : x
  2. Step 2: Convert to fraction form
    17,784.80/24,544.32 = 10,715.12/x
  3. Step 3: Cross multiply
    17,784.80x = 24,544.32 × 10,715.12
  4. Step 4: Simplify right side
    17,784.80x = 262,995,334.12
  5. Step 5: Solve for x
    x = 262,995,334.12/17,784.80
  6. Step 6: Final answer
    x = 14,787.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.