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Finding the Fourth Proportional to 16,400.10, 24,600.15 and 5,307.60

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Solution

The fourth proportional to 16,400.10, 24,600.15 and 5,307.60 is: 7,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.10 : 24,600.15 = 5,307.60 : x
  2. Step 2: Convert to fraction form
    16,400.10/24,600.15 = 5,307.60/x
  3. Step 3: Cross multiply
    16,400.10x = 24,600.15 × 5,307.60
  4. Step 4: Simplify right side
    16,400.10x = 130,567,756.14
  5. Step 5: Solve for x
    x = 130,567,756.14/16,400.10
  6. Step 6: Final answer
    x = 7,961.40

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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.