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Finding the Fourth Proportional to 16,143.51, 24,170.32 and 12,182.76

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Solution

The fourth proportional to 16,143.51, 24,170.32 and 12,182.76 is: 18,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.51 : 24,170.32 = 12,182.76 : x
  2. Step 2: Convert to fraction form
    16,143.51/24,170.32 = 12,182.76/x
  3. Step 3: Cross multiply
    16,143.51x = 24,170.32 × 12,182.76
  4. Step 4: Simplify right side
    16,143.51x = 294,461,274.17
  5. Step 5: Solve for x
    x = 294,461,274.17/16,143.51
  6. Step 6: Final answer
    x = 18,240.23

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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.