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Finding the Fourth Proportional to 19,683.12, 29,485.08 and 9,792.40

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Solution

The fourth proportional to 19,683.12, 29,485.08 and 9,792.40 is: 14,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.12 : 29,485.08 = 9,792.40 : x
  2. Step 2: Convert to fraction form
    19,683.12/29,485.08 = 9,792.40/x
  3. Step 3: Cross multiply
    19,683.12x = 29,485.08 × 9,792.40
  4. Step 4: Simplify right side
    19,683.12x = 288,729,697.39
  5. Step 5: Solve for x
    x = 288,729,697.39/19,683.12
  6. Step 6: Final answer
    x = 14,668.90

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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.