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Finding the Fourth Proportional to 14,686.17, 22,029.27 and 12,083.64

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Solution

The fourth proportional to 14,686.17, 22,029.27 and 12,083.64 is: 18,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.17 : 22,029.27 = 12,083.64 : x
  2. Step 2: Convert to fraction form
    14,686.17/22,029.27 = 12,083.64/x
  3. Step 3: Cross multiply
    14,686.17x = 22,029.27 × 12,083.64
  4. Step 4: Simplify right side
    14,686.17x = 266,193,768.14
  5. Step 5: Solve for x
    x = 266,193,768.14/14,686.17
  6. Step 6: Final answer
    x = 18,125.47

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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.