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Finding the Fourth Proportional to 19,648.13, 29,477.59 and 5,797.13

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Solution

The fourth proportional to 19,648.13, 29,477.59 and 5,797.13 is: 8,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.13 : 29,477.59 = 5,797.13 : x
  2. Step 2: Convert to fraction form
    19,648.13/29,477.59 = 5,797.13/x
  3. Step 3: Cross multiply
    19,648.13x = 29,477.59 × 5,797.13
  4. Step 4: Simplify right side
    19,648.13x = 170,885,259.44
  5. Step 5: Solve for x
    x = 170,885,259.44/19,648.13
  6. Step 6: Final answer
    x = 8,697.28

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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.