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Finding the Fourth Proportional to 19,658.40, 29,477.52 and 5,805.60

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Solution

The fourth proportional to 19,658.40, 29,477.52 and 5,805.60 is: 8,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.40 : 29,477.52 = 5,805.60 : x
  2. Step 2: Convert to fraction form
    19,658.40/29,477.52 = 5,805.60/x
  3. Step 3: Cross multiply
    19,658.40x = 29,477.52 × 5,805.60
  4. Step 4: Simplify right side
    19,658.40x = 171,134,690.11
  5. Step 5: Solve for x
    x = 171,134,690.11/19,658.40
  6. Step 6: Final answer
    x = 8,705.42

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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.