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Finding the Fourth Proportional to 13,221.40, 19,826.95 and 6,643

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Solution

The fourth proportional to 13,221.40, 19,826.95 and 6,643 is: 9,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.40 : 19,826.95 = 6,643 : x
  2. Step 2: Convert to fraction form
    13,221.40/19,826.95 = 6,643/x
  3. Step 3: Cross multiply
    13,221.40x = 19,826.95 × 6,643
  4. Step 4: Simplify right side
    13,221.40x = 131,710,428.85
  5. Step 5: Solve for x
    x = 131,710,428.85/13,221.40
  6. Step 6: Final answer
    x = 9,961.91

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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.