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Finding the Fourth Proportional to 15,884.48, 23,819 and 4,789.10

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Solution

The fourth proportional to 15,884.48, 23,819 and 4,789.10 is: 7,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.48 : 23,819 = 4,789.10 : x
  2. Step 2: Convert to fraction form
    15,884.48/23,819 = 4,789.10/x
  3. Step 3: Cross multiply
    15,884.48x = 23,819 × 4,789.10
  4. Step 4: Simplify right side
    15,884.48x = 114,071,572.90
  5. Step 5: Solve for x
    x = 114,071,572.90/15,884.48
  6. Step 6: Final answer
    x = 7,181.32

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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.