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Finding the Fourth Proportional to 12,970.68, 19,419.30 and 10,082.76

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Solution

The fourth proportional to 12,970.68, 19,419.30 and 10,082.76 is: 15,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.68 : 19,419.30 = 10,082.76 : x
  2. Step 2: Convert to fraction form
    12,970.68/19,419.30 = 10,082.76/x
  3. Step 3: Cross multiply
    12,970.68x = 19,419.30 × 10,082.76
  4. Step 4: Simplify right side
    12,970.68x = 195,800,141.27
  5. Step 5: Solve for x
    x = 195,800,141.27/12,970.68
  6. Step 6: Final answer
    x = 15,095.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.