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Finding the Fourth Proportional to 14,492, 19,999.04 and 7,868

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Solution

The fourth proportional to 14,492, 19,999.04 and 7,868 is: 10,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492 : 19,999.04 = 7,868 : x
  2. Step 2: Convert to fraction form
    14,492/19,999.04 = 7,868/x
  3. Step 3: Cross multiply
    14,492x = 19,999.04 × 7,868
  4. Step 4: Simplify right side
    14,492x = 157,352,446.72
  5. Step 5: Solve for x
    x = 157,352,446.72/14,492
  6. Step 6: Final answer
    x = 10,857.88

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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.