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Finding the Fourth Proportional to 11,712.08, 17,548.68 and 9,521.84

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Solution

The fourth proportional to 11,712.08, 17,548.68 and 9,521.84 is: 14,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.08 : 17,548.68 = 9,521.84 : x
  2. Step 2: Convert to fraction form
    11,712.08/17,548.68 = 9,521.84/x
  3. Step 3: Cross multiply
    11,712.08x = 17,548.68 × 9,521.84
  4. Step 4: Simplify right side
    11,712.08x = 167,095,723.17
  5. Step 5: Solve for x
    x = 167,095,723.17/11,712.08
  6. Step 6: Final answer
    x = 14,266.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.