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Finding the Fourth Proportional to 12,883.71, 19,325.57 and 7,037.13

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Solution

The fourth proportional to 12,883.71, 19,325.57 and 7,037.13 is: 10,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.71 : 19,325.57 = 7,037.13 : x
  2. Step 2: Convert to fraction form
    12,883.71/19,325.57 = 7,037.13/x
  3. Step 3: Cross multiply
    12,883.71x = 19,325.57 × 7,037.13
  4. Step 4: Simplify right side
    12,883.71x = 135,996,513.23
  5. Step 5: Solve for x
    x = 135,996,513.23/12,883.71
  6. Step 6: Final answer
    x = 10,555.70

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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.