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Finding the Fourth Proportional to 12,824.86, 17,698.60 and 8,045.00

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Solution

The fourth proportional to 12,824.86, 17,698.60 and 8,045.00 is: 11,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.86 : 17,698.60 = 8,045.00 : x
  2. Step 2: Convert to fraction form
    12,824.86/17,698.60 = 8,045.00/x
  3. Step 3: Cross multiply
    12,824.86x = 17,698.60 × 8,045.00
  4. Step 4: Simplify right side
    12,824.86x = 142,385,339.57
  5. Step 5: Solve for x
    x = 142,385,339.57/12,824.86
  6. Step 6: Final answer
    x = 11,102.29

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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.