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Finding the Fourth Proportional to 16,139.68, 24,186.80 and 12,838.08

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Solution

The fourth proportional to 16,139.68, 24,186.80 and 12,838.08 is: 19,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.68 : 24,186.80 = 12,838.08 : x
  2. Step 2: Convert to fraction form
    16,139.68/24,186.80 = 12,838.08/x
  3. Step 3: Cross multiply
    16,139.68x = 24,186.80 × 12,838.08
  4. Step 4: Simplify right side
    16,139.68x = 310,512,073.34
  5. Step 5: Solve for x
    x = 310,512,073.34/16,139.68
  6. Step 6: Final answer
    x = 19,239.05

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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.