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Finding the Fourth Proportional to 12,005.04, 16,563.78 and 7,699.62

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Solution

The fourth proportional to 12,005.04, 16,563.78 and 7,699.62 is: 10,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.04 : 16,563.78 = 7,699.62 : x
  2. Step 2: Convert to fraction form
    12,005.04/16,563.78 = 7,699.62/x
  3. Step 3: Cross multiply
    12,005.04x = 16,563.78 × 7,699.62
  4. Step 4: Simplify right side
    12,005.04x = 127,534,811.76
  5. Step 5: Solve for x
    x = 127,534,811.76/12,005.04
  6. Step 6: Final answer
    x = 10,623.44

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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.