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Finding the Fourth Proportional to 16,717.66, 23,071.12 and 9,548.20

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Solution

The fourth proportional to 16,717.66, 23,071.12 and 9,548.20 is: 13,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717.66 : 23,071.12 = 9,548.20 : x
  2. Step 2: Convert to fraction form
    16,717.66/23,071.12 = 9,548.20/x
  3. Step 3: Cross multiply
    16,717.66x = 23,071.12 × 9,548.20
  4. Step 4: Simplify right side
    16,717.66x = 220,287,552.63
  5. Step 5: Solve for x
    x = 220,287,552.63/16,717.66
  6. Step 6: Final answer
    x = 13,176.94

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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.