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Finding the Fourth Proportional to 16,308.54, 24,448.14 and 5,913

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Solution

The fourth proportional to 16,308.54, 24,448.14 and 5,913 is: 8,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.54 : 24,448.14 = 5,913 : x
  2. Step 2: Convert to fraction form
    16,308.54/24,448.14 = 5,913/x
  3. Step 3: Cross multiply
    16,308.54x = 24,448.14 × 5,913
  4. Step 4: Simplify right side
    16,308.54x = 144,561,851.82
  5. Step 5: Solve for x
    x = 144,561,851.82/16,308.54
  6. Step 6: Final answer
    x = 8,864.18

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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.