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Finding the Fourth Proportional to 16,271.10, 24,395.72 and 6,405.30

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Solution

The fourth proportional to 16,271.10, 24,395.72 and 6,405.30 is: 9,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.10 : 24,395.72 = 6,405.30 : x
  2. Step 2: Convert to fraction form
    16,271.10/24,395.72 = 6,405.30/x
  3. Step 3: Cross multiply
    16,271.10x = 24,395.72 × 6,405.30
  4. Step 4: Simplify right side
    16,271.10x = 156,261,873.29
  5. Step 5: Solve for x
    x = 156,261,873.29/16,271.10
  6. Step 6: Final answer
    x = 9,603.65

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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.