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Finding the Fourth Proportional to 15,411.71, 23,115.44 and 6,645.49

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Solution

The fourth proportional to 15,411.71, 23,115.44 and 6,645.49 is: 9,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.71 : 23,115.44 = 6,645.49 : x
  2. Step 2: Convert to fraction form
    15,411.71/23,115.44 = 6,645.49/x
  3. Step 3: Cross multiply
    15,411.71x = 23,115.44 × 6,645.49
  4. Step 4: Simplify right side
    15,411.71x = 153,613,309.79
  5. Step 5: Solve for x
    x = 153,613,309.79/15,411.71
  6. Step 6: Final answer
    x = 9,967.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.