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Finding the Fourth Proportional to 14,143.85, 19,519.40 and 7,856.21

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Solution

The fourth proportional to 14,143.85, 19,519.40 and 7,856.21 is: 10,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.85 : 19,519.40 = 7,856.21 : x
  2. Step 2: Convert to fraction form
    14,143.85/19,519.40 = 7,856.21/x
  3. Step 3: Cross multiply
    14,143.85x = 19,519.40 × 7,856.21
  4. Step 4: Simplify right side
    14,143.85x = 153,348,505.47
  5. Step 5: Solve for x
    x = 153,348,505.47/14,143.85
  6. Step 6: Final answer
    x = 10,842.06

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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.