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Finding the Fourth Proportional to 19,583.60, 29,375.40 and 9,724.40

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Solution

The fourth proportional to 19,583.60, 29,375.40 and 9,724.40 is: 14,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583.60 : 29,375.40 = 9,724.40 : x
  2. Step 2: Convert to fraction form
    19,583.60/29,375.40 = 9,724.40/x
  3. Step 3: Cross multiply
    19,583.60x = 29,375.40 × 9,724.40
  4. Step 4: Simplify right side
    19,583.60x = 285,658,139.76
  5. Step 5: Solve for x
    x = 285,658,139.76/19,583.60
  6. Step 6: Final answer
    x = 14,586.60

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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.