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Finding the Fourth Proportional to 14,244.73, 19,657.26 and 7,870.96

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Solution

The fourth proportional to 14,244.73, 19,657.26 and 7,870.96 is: 10,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.73 : 19,657.26 = 7,870.96 : x
  2. Step 2: Convert to fraction form
    14,244.73/19,657.26 = 7,870.96/x
  3. Step 3: Cross multiply
    14,244.73x = 19,657.26 × 7,870.96
  4. Step 4: Simplify right side
    14,244.73x = 154,721,507.17
  5. Step 5: Solve for x
    x = 154,721,507.17/14,244.73
  6. Step 6: Final answer
    x = 10,861.67

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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.