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Finding the Fourth Proportional to 15,442.60, 23,181.90 and 8,055.40

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Solution

The fourth proportional to 15,442.60, 23,181.90 and 8,055.40 is: 12,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.60 : 23,181.90 = 8,055.40 : x
  2. Step 2: Convert to fraction form
    15,442.60/23,181.90 = 8,055.40/x
  3. Step 3: Cross multiply
    15,442.60x = 23,181.90 × 8,055.40
  4. Step 4: Simplify right side
    15,442.60x = 186,739,477.26
  5. Step 5: Solve for x
    x = 186,739,477.26/15,442.60
  6. Step 6: Final answer
    x = 12,092.49

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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.