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Finding the Fourth Proportional to 16,965.05, 23,407.04 and 10,156.25

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Solution

The fourth proportional to 16,965.05, 23,407.04 and 10,156.25 is: 14,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.05 : 23,407.04 = 10,156.25 : x
  2. Step 2: Convert to fraction form
    16,965.05/23,407.04 = 10,156.25/x
  3. Step 3: Cross multiply
    16,965.05x = 23,407.04 × 10,156.25
  4. Step 4: Simplify right side
    16,965.05x = 237,727,833.91
  5. Step 5: Solve for x
    x = 237,727,833.91/16,965.05
  6. Step 6: Final answer
    x = 14,012.80

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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.