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Finding the Fourth Proportional to 14,242.57, 19,653.07 and 7,868.78

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Solution

The fourth proportional to 14,242.57, 19,653.07 and 7,868.78 is: 10,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.57 : 19,653.07 = 7,868.78 : x
  2. Step 2: Convert to fraction form
    14,242.57/19,653.07 = 7,868.78/x
  3. Step 3: Cross multiply
    14,242.57x = 19,653.07 × 7,868.78
  4. Step 4: Simplify right side
    14,242.57x = 154,645,743.12
  5. Step 5: Solve for x
    x = 154,645,743.12/14,242.57
  6. Step 6: Final answer
    x = 10,857.99

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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.