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Finding the Fourth Proportional to 19,645.20, 29,470.08 and 6,497.67

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Solution

The fourth proportional to 19,645.20, 29,470.08 and 6,497.67 is: 9,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.20 : 29,470.08 = 6,497.67 : x
  2. Step 2: Convert to fraction form
    19,645.20/29,470.08 = 6,497.67/x
  3. Step 3: Cross multiply
    19,645.20x = 29,470.08 × 6,497.67
  4. Step 4: Simplify right side
    19,645.20x = 191,486,854.71
  5. Step 5: Solve for x
    x = 191,486,854.71/19,645.20
  6. Step 6: Final answer
    x = 9,747.26

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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.