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Finding the Fourth Proportional to 14,122.96, 19,492 and 7,837.36

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Solution

The fourth proportional to 14,122.96, 19,492 and 7,837.36 is: 10,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.96 : 19,492 = 7,837.36 : x
  2. Step 2: Convert to fraction form
    14,122.96/19,492 = 7,837.36/x
  3. Step 3: Cross multiply
    14,122.96x = 19,492 × 7,837.36
  4. Step 4: Simplify right side
    14,122.96x = 152,765,821.12
  5. Step 5: Solve for x
    x = 152,765,821.12/14,122.96
  6. Step 6: Final answer
    x = 10,816.84

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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.