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Finding the Fourth Proportional to 15,384.50, 23,078.69 and 6,023.32

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Solution

The fourth proportional to 15,384.50, 23,078.69 and 6,023.32 is: 9,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.50 : 23,078.69 = 6,023.32 : x
  2. Step 2: Convert to fraction form
    15,384.50/23,078.69 = 6,023.32/x
  3. Step 3: Cross multiply
    15,384.50x = 23,078.69 × 6,023.32
  4. Step 4: Simplify right side
    15,384.50x = 139,010,335.05
  5. Step 5: Solve for x
    x = 139,010,335.05/15,384.50
  6. Step 6: Final answer
    x = 9,035.74

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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.