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Finding the Fourth Proportional to 13,509.30, 18,643.15 and 8,473.74

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Solution

The fourth proportional to 13,509.30, 18,643.15 and 8,473.74 is: 11,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.30 : 18,643.15 = 8,473.74 : x
  2. Step 2: Convert to fraction form
    13,509.30/18,643.15 = 8,473.74/x
  3. Step 3: Cross multiply
    13,509.30x = 18,643.15 × 8,473.74
  4. Step 4: Simplify right side
    13,509.30x = 157,977,133.85
  5. Step 5: Solve for x
    x = 157,977,133.85/13,509.30
  6. Step 6: Final answer
    x = 11,693.95

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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.