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Finding the Fourth Proportional to 12,903.12, 19,357.56 and 10,453.68

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Solution

The fourth proportional to 12,903.12, 19,357.56 and 10,453.68 is: 15,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.12 : 19,357.56 = 10,453.68 : x
  2. Step 2: Convert to fraction form
    12,903.12/19,357.56 = 10,453.68/x
  3. Step 3: Cross multiply
    12,903.12x = 19,357.56 × 10,453.68
  4. Step 4: Simplify right side
    12,903.12x = 202,357,737.82
  5. Step 5: Solve for x
    x = 202,357,737.82/12,903.12
  6. Step 6: Final answer
    x = 15,682.85

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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.