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Finding the Fourth Proportional to 16,390.02, 24,585.09 and 4,078.02

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Solution

The fourth proportional to 16,390.02, 24,585.09 and 4,078.02 is: 6,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390.02 : 24,585.09 = 4,078.02 : x
  2. Step 2: Convert to fraction form
    16,390.02/24,585.09 = 4,078.02/x
  3. Step 3: Cross multiply
    16,390.02x = 24,585.09 × 4,078.02
  4. Step 4: Simplify right side
    16,390.02x = 100,258,488.72
  5. Step 5: Solve for x
    x = 100,258,488.72/16,390.02
  6. Step 6: Final answer
    x = 6,117.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.