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Finding the Fourth Proportional to 13,029.85, 19,542.95 and 4,263.63

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Solution

The fourth proportional to 13,029.85, 19,542.95 and 4,263.63 is: 6,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.85 : 19,542.95 = 4,263.63 : x
  2. Step 2: Convert to fraction form
    13,029.85/19,542.95 = 4,263.63/x
  3. Step 3: Cross multiply
    13,029.85x = 19,542.95 × 4,263.63
  4. Step 4: Simplify right side
    13,029.85x = 83,323,907.91
  5. Step 5: Solve for x
    x = 83,323,907.91/13,029.85
  6. Step 6: Final answer
    x = 6,394.85

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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.