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Finding the Fourth Proportional to 14,141.16, 19,513.44 and 7,767.42

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Solution

The fourth proportional to 14,141.16, 19,513.44 and 7,767.42 is: 10,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.16 : 19,513.44 = 7,767.42 : x
  2. Step 2: Convert to fraction form
    14,141.16/19,513.44 = 7,767.42/x
  3. Step 3: Cross multiply
    14,141.16x = 19,513.44 × 7,767.42
  4. Step 4: Simplify right side
    14,141.16x = 151,569,084.12
  5. Step 5: Solve for x
    x = 151,569,084.12/14,141.16
  6. Step 6: Final answer
    x = 10,718.29

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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.