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Finding the Fourth Proportional to 13,002.90, 19,507.43 and 4,237.82

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Solution

The fourth proportional to 13,002.90, 19,507.43 and 4,237.82 is: 6,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.90 : 19,507.43 = 4,237.82 : x
  2. Step 2: Convert to fraction form
    13,002.90/19,507.43 = 4,237.82/x
  3. Step 3: Cross multiply
    13,002.90x = 19,507.43 × 4,237.82
  4. Step 4: Simplify right side
    13,002.90x = 82,668,858.28
  5. Step 5: Solve for x
    x = 82,668,858.28/13,002.90
  6. Step 6: Final answer
    x = 6,357.72

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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.