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Finding the Fourth Proportional to 12,834.50, 17,695.47 and 9,813.32

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Solution

The fourth proportional to 12,834.50, 17,695.47 and 9,813.32 is: 13,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.50 : 17,695.47 = 9,813.32 : x
  2. Step 2: Convert to fraction form
    12,834.50/17,695.47 = 9,813.32/x
  3. Step 3: Cross multiply
    12,834.50x = 17,695.47 × 9,813.32
  4. Step 4: Simplify right side
    12,834.50x = 173,651,390.70
  5. Step 5: Solve for x
    x = 173,651,390.70/12,834.50
  6. Step 6: Final answer
    x = 13,530.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.