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Finding the Fourth Proportional to 23,647.60, 35,471.40 and 19,419.40

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Solution

The fourth proportional to 23,647.60, 35,471.40 and 19,419.40 is: 29,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.60 : 35,471.40 = 19,419.40 : x
  2. Step 2: Convert to fraction form
    23,647.60/35,471.40 = 19,419.40/x
  3. Step 3: Cross multiply
    23,647.60x = 35,471.40 × 19,419.40
  4. Step 4: Simplify right side
    23,647.60x = 688,833,305.16
  5. Step 5: Solve for x
    x = 688,833,305.16/23,647.60
  6. Step 6: Final answer
    x = 29,129.10

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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.