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Finding the Fourth Proportional to 19,648.83, 29,477.86 and 6,501.20

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Solution

The fourth proportional to 19,648.83, 29,477.86 and 6,501.20 is: 9,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.83 : 29,477.86 = 6,501.20 : x
  2. Step 2: Convert to fraction form
    19,648.83/29,477.86 = 6,501.20/x
  3. Step 3: Cross multiply
    19,648.83x = 29,477.86 × 6,501.20
  4. Step 4: Simplify right side
    19,648.83x = 191,641,410.44
  5. Step 5: Solve for x
    x = 191,641,410.44/19,648.83
  6. Step 6: Final answer
    x = 9,753.33

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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.