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Finding the Fourth Proportional to 13,023.64, 19,533.83 and 4,257.82

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Solution

The fourth proportional to 13,023.64, 19,533.83 and 4,257.82 is: 6,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.64 : 19,533.83 = 4,257.82 : x
  2. Step 2: Convert to fraction form
    13,023.64/19,533.83 = 4,257.82/x
  3. Step 3: Cross multiply
    13,023.64x = 19,533.83 × 4,257.82
  4. Step 4: Simplify right side
    13,023.64x = 83,171,434.38
  5. Step 5: Solve for x
    x = 83,171,434.38/13,023.64
  6. Step 6: Final answer
    x = 6,386.19

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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.