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Finding the Fourth Proportional to 12,724.69, 17,554.02 and 8,477.72

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Solution

The fourth proportional to 12,724.69, 17,554.02 and 8,477.72 is: 11,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.69 : 17,554.02 = 8,477.72 : x
  2. Step 2: Convert to fraction form
    12,724.69/17,554.02 = 8,477.72/x
  3. Step 3: Cross multiply
    12,724.69x = 17,554.02 × 8,477.72
  4. Step 4: Simplify right side
    12,724.69x = 148,818,066.43
  5. Step 5: Solve for x
    x = 148,818,066.43/12,724.69
  6. Step 6: Final answer
    x = 11,695.23

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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.