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Finding the Fourth Proportional to 13,137.04, 19,711.76 and 6,563.76

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Solution

The fourth proportional to 13,137.04, 19,711.76 and 6,563.76 is: 9,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.04 : 19,711.76 = 6,563.76 : x
  2. Step 2: Convert to fraction form
    13,137.04/19,711.76 = 6,563.76/x
  3. Step 3: Cross multiply
    13,137.04x = 19,711.76 × 6,563.76
  4. Step 4: Simplify right side
    13,137.04x = 129,383,261.82
  5. Step 5: Solve for x
    x = 129,383,261.82/13,137.04
  6. Step 6: Final answer
    x = 9,848.74

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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.