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Finding the Fourth Proportional to 16,515.47, 24,775.78 and 5,419.63

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Solution

The fourth proportional to 16,515.47, 24,775.78 and 5,419.63 is: 8,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.47 : 24,775.78 = 5,419.63 : x
  2. Step 2: Convert to fraction form
    16,515.47/24,775.78 = 5,419.63/x
  3. Step 3: Cross multiply
    16,515.47x = 24,775.78 × 5,419.63
  4. Step 4: Simplify right side
    16,515.47x = 134,275,533.46
  5. Step 5: Solve for x
    x = 134,275,533.46/16,515.47
  6. Step 6: Final answer
    x = 8,130.29

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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.