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Finding the Fourth Proportional to 19,647.20, 29,427.60 and 10,402.40

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Solution

The fourth proportional to 19,647.20, 29,427.60 and 10,402.40 is: 15,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.20 : 29,427.60 = 10,402.40 : x
  2. Step 2: Convert to fraction form
    19,647.20/29,427.60 = 10,402.40/x
  3. Step 3: Cross multiply
    19,647.20x = 29,427.60 × 10,402.40
  4. Step 4: Simplify right side
    19,647.20x = 306,117,666.24
  5. Step 5: Solve for x
    x = 306,117,666.24/19,647.20
  6. Step 6: Final answer
    x = 15,580.73

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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.