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Finding the Fourth Proportional to 15,678.22, 23,507.76 and 6,661.71

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Solution

The fourth proportional to 15,678.22, 23,507.76 and 6,661.71 is: 9,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.22 : 23,507.76 = 6,661.71 : x
  2. Step 2: Convert to fraction form
    15,678.22/23,507.76 = 6,661.71/x
  3. Step 3: Cross multiply
    15,678.22x = 23,507.76 × 6,661.71
  4. Step 4: Simplify right side
    15,678.22x = 156,601,879.87
  5. Step 5: Solve for x
    x = 156,601,879.87/15,678.22
  6. Step 6: Final answer
    x = 9,988.50

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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.