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Finding the Fourth Proportional to 13,017.24, 19,535.94 and 8,847

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Solution

The fourth proportional to 13,017.24, 19,535.94 and 8,847 is: 13,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.24 : 19,535.94 = 8,847 : x
  2. Step 2: Convert to fraction form
    13,017.24/19,535.94 = 8,847/x
  3. Step 3: Cross multiply
    13,017.24x = 19,535.94 × 8,847
  4. Step 4: Simplify right side
    13,017.24x = 172,834,461.18
  5. Step 5: Solve for x
    x = 172,834,461.18/13,017.24
  6. Step 6: Final answer
    x = 13,277.35

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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.