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Finding the Fourth Proportional to 16,384.48, 22,608.60 and 9,308.92

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Solution

The fourth proportional to 16,384.48, 22,608.60 and 9,308.92 is: 12,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.48 : 22,608.60 = 9,308.92 : x
  2. Step 2: Convert to fraction form
    16,384.48/22,608.60 = 9,308.92/x
  3. Step 3: Cross multiply
    16,384.48x = 22,608.60 × 9,308.92
  4. Step 4: Simplify right side
    16,384.48x = 210,461,648.71
  5. Step 5: Solve for x
    x = 210,461,648.71/16,384.48
  6. Step 6: Final answer
    x = 12,845.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.