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Finding the Fourth Proportional to 16,335.75, 24,503.75 and 4,023.75

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Solution

The fourth proportional to 16,335.75, 24,503.75 and 4,023.75 is: 6,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335.75 : 24,503.75 = 4,023.75 : x
  2. Step 2: Convert to fraction form
    16,335.75/24,503.75 = 4,023.75/x
  3. Step 3: Cross multiply
    16,335.75x = 24,503.75 × 4,023.75
  4. Step 4: Simplify right side
    16,335.75x = 98,596,943.94
  5. Step 5: Solve for x
    x = 98,596,943.94/16,335.75
  6. Step 6: Final answer
    x = 6,035.65

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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.