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Finding the Fourth Proportional to 12,410.16, 18,624.48 and 5,014.69

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Solution

The fourth proportional to 12,410.16, 18,624.48 and 5,014.69 is: 7,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.16 : 18,624.48 = 5,014.69 : x
  2. Step 2: Convert to fraction form
    12,410.16/18,624.48 = 5,014.69/x
  3. Step 3: Cross multiply
    12,410.16x = 18,624.48 × 5,014.69
  4. Step 4: Simplify right side
    12,410.16x = 93,395,928.24
  5. Step 5: Solve for x
    x = 93,395,928.24/12,410.16
  6. Step 6: Final answer
    x = 7,525.76

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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.