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Finding the Fourth Proportional to 16,303.68, 24,458.27 and 5,056.43

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Solution

The fourth proportional to 16,303.68, 24,458.27 and 5,056.43 is: 7,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.68 : 24,458.27 = 5,056.43 : x
  2. Step 2: Convert to fraction form
    16,303.68/24,458.27 = 5,056.43/x
  3. Step 3: Cross multiply
    16,303.68x = 24,458.27 × 5,056.43
  4. Step 4: Simplify right side
    16,303.68x = 123,671,382.60
  5. Step 5: Solve for x
    x = 123,671,382.60/16,303.68
  6. Step 6: Final answer
    x = 7,585.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.