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Finding the Fourth Proportional to 15,665.76, 23,494.32 and 6,784.08

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Solution

The fourth proportional to 15,665.76, 23,494.32 and 6,784.08 is: 10,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.76 : 23,494.32 = 6,784.08 : x
  2. Step 2: Convert to fraction form
    15,665.76/23,494.32 = 6,784.08/x
  3. Step 3: Cross multiply
    15,665.76x = 23,494.32 × 6,784.08
  4. Step 4: Simplify right side
    15,665.76x = 159,387,346.43
  5. Step 5: Solve for x
    x = 159,387,346.43/15,665.76
  6. Step 6: Final answer
    x = 10,174.25

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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.