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Finding the Fourth Proportional to 15,874.50, 23,807.11 and 4,780.10

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Solution

The fourth proportional to 15,874.50, 23,807.11 and 4,780.10 is: 7,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.50 : 23,807.11 = 4,780.10 : x
  2. Step 2: Convert to fraction form
    15,874.50/23,807.11 = 4,780.10/x
  3. Step 3: Cross multiply
    15,874.50x = 23,807.11 × 4,780.10
  4. Step 4: Simplify right side
    15,874.50x = 113,800,366.51
  5. Step 5: Solve for x
    x = 113,800,366.51/15,874.50
  6. Step 6: Final answer
    x = 7,168.75

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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.