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Finding the Fourth Proportional to 19,792.20, 29,688.30 and 12,419.40

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Solution

The fourth proportional to 19,792.20, 29,688.30 and 12,419.40 is: 18,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792.20 : 29,688.30 = 12,419.40 : x
  2. Step 2: Convert to fraction form
    19,792.20/29,688.30 = 12,419.40/x
  3. Step 3: Cross multiply
    19,792.20x = 29,688.30 × 12,419.40
  4. Step 4: Simplify right side
    19,792.20x = 368,710,873.02
  5. Step 5: Solve for x
    x = 368,710,873.02/19,792.20
  6. Step 6: Final answer
    x = 18,629.10

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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.