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Finding the Fourth Proportional to 16,686.21, 23,029.55 and 9,516.14

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Solution

The fourth proportional to 16,686.21, 23,029.55 and 9,516.14 is: 13,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686.21 : 23,029.55 = 9,516.14 : x
  2. Step 2: Convert to fraction form
    16,686.21/23,029.55 = 9,516.14/x
  3. Step 3: Cross multiply
    16,686.21x = 23,029.55 × 9,516.14
  4. Step 4: Simplify right side
    16,686.21x = 219,152,294.89
  5. Step 5: Solve for x
    x = 219,152,294.89/16,686.21
  6. Step 6: Final answer
    x = 13,133.74

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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.