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Finding the Fourth Proportional to 14,243.57, 19,656.34 and 7,870.31

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Solution

The fourth proportional to 14,243.57, 19,656.34 and 7,870.31 is: 10,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.57 : 19,656.34 = 7,870.31 : x
  2. Step 2: Convert to fraction form
    14,243.57/19,656.34 = 7,870.31/x
  3. Step 3: Cross multiply
    14,243.57x = 19,656.34 × 7,870.31
  4. Step 4: Simplify right side
    14,243.57x = 154,701,489.27
  5. Step 5: Solve for x
    x = 154,701,489.27/14,243.57
  6. Step 6: Final answer
    x = 10,861.15

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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.