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Finding the Fourth Proportional to 12,281.09, 16,955.64 and 8,703.63

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Solution

The fourth proportional to 12,281.09, 16,955.64 and 8,703.63 is: 12,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.09 : 16,955.64 = 8,703.63 : x
  2. Step 2: Convert to fraction form
    12,281.09/16,955.64 = 8,703.63/x
  3. Step 3: Cross multiply
    12,281.09x = 16,955.64 × 8,703.63
  4. Step 4: Simplify right side
    12,281.09x = 147,575,616.97
  5. Step 5: Solve for x
    x = 147,575,616.97/12,281.09
  6. Step 6: Final answer
    x = 12,016.50

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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.