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Finding the Fourth Proportional to 17,698.50, 24,426.36 and 11,409.66

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Solution

The fourth proportional to 17,698.50, 24,426.36 and 11,409.66 is: 15,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.50 : 24,426.36 = 11,409.66 : x
  2. Step 2: Convert to fraction form
    17,698.50/24,426.36 = 11,409.66/x
  3. Step 3: Cross multiply
    17,698.50x = 24,426.36 × 11,409.66
  4. Step 4: Simplify right side
    17,698.50x = 278,696,462.64
  5. Step 5: Solve for x
    x = 278,696,462.64/17,698.50
  6. Step 6: Final answer
    x = 15,746.90

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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.