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Finding the Fourth Proportional to 16,271.47, 24,397.95 and 6,405.40

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Solution

The fourth proportional to 16,271.47, 24,397.95 and 6,405.40 is: 9,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.47 : 24,397.95 = 6,405.40 : x
  2. Step 2: Convert to fraction form
    16,271.47/24,397.95 = 6,405.40/x
  3. Step 3: Cross multiply
    16,271.47x = 24,397.95 × 6,405.40
  4. Step 4: Simplify right side
    16,271.47x = 156,278,628.93
  5. Step 5: Solve for x
    x = 156,278,628.93/16,271.47
  6. Step 6: Final answer
    x = 9,604.46

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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.