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Finding the Fourth Proportional to 16,195.68, 24,280.08 and 5,804.64

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Solution

The fourth proportional to 16,195.68, 24,280.08 and 5,804.64 is: 8,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.68 : 24,280.08 = 5,804.64 : x
  2. Step 2: Convert to fraction form
    16,195.68/24,280.08 = 5,804.64/x
  3. Step 3: Cross multiply
    16,195.68x = 24,280.08 × 5,804.64
  4. Step 4: Simplify right side
    16,195.68x = 140,937,123.57
  5. Step 5: Solve for x
    x = 140,937,123.57/16,195.68
  6. Step 6: Final answer
    x = 8,702.14

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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.