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Finding the Fourth Proportional to 19,608.76, 29,416.78 and 6,461.65

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Solution

The fourth proportional to 19,608.76, 29,416.78 and 6,461.65 is: 9,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.76 : 29,416.78 = 6,461.65 : x
  2. Step 2: Convert to fraction form
    19,608.76/29,416.78 = 6,461.65/x
  3. Step 3: Cross multiply
    19,608.76x = 29,416.78 × 6,461.65
  4. Step 4: Simplify right side
    19,608.76x = 190,080,789.40
  5. Step 5: Solve for x
    x = 190,080,789.40/19,608.76
  6. Step 6: Final answer
    x = 9,693.67

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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.