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Finding the Fourth Proportional to 16,399.40, 24,597.65 and 9,820.79

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Solution

The fourth proportional to 16,399.40, 24,597.65 and 9,820.79 is: 14,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.40 : 24,597.65 = 9,820.79 : x
  2. Step 2: Convert to fraction form
    16,399.40/24,597.65 = 9,820.79/x
  3. Step 3: Cross multiply
    16,399.40x = 24,597.65 × 9,820.79
  4. Step 4: Simplify right side
    16,399.40x = 241,568,256.71
  5. Step 5: Solve for x
    x = 241,568,256.71/16,399.40
  6. Step 6: Final answer
    x = 14,730.31

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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.