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Finding the Fourth Proportional to 19,648.69, 29,470.20 and 6,500.77

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Solution

The fourth proportional to 19,648.69, 29,470.20 and 6,500.77 is: 9,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.69 : 29,470.20 = 6,500.77 : x
  2. Step 2: Convert to fraction form
    19,648.69/29,470.20 = 6,500.77/x
  3. Step 3: Cross multiply
    19,648.69x = 29,470.20 × 6,500.77
  4. Step 4: Simplify right side
    19,648.69x = 191,578,992.05
  5. Step 5: Solve for x
    x = 191,578,992.05/19,648.69
  6. Step 6: Final answer
    x = 9,750.22

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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.