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Finding the Fourth Proportional to 12,185.96, 16,810.02 and 7,701.32

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Solution

The fourth proportional to 12,185.96, 16,810.02 and 7,701.32 is: 10,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.96 : 16,810.02 = 7,701.32 : x
  2. Step 2: Convert to fraction form
    12,185.96/16,810.02 = 7,701.32/x
  3. Step 3: Cross multiply
    12,185.96x = 16,810.02 × 7,701.32
  4. Step 4: Simplify right side
    12,185.96x = 129,459,343.23
  5. Step 5: Solve for x
    x = 129,459,343.23/12,185.96
  6. Step 6: Final answer
    x = 10,623.65

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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.