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Finding the Fourth Proportional to 16,421.28, 22,661.55 and 9,347.82

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Solution

The fourth proportional to 16,421.28, 22,661.55 and 9,347.82 is: 12,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.28 : 22,661.55 = 9,347.82 : x
  2. Step 2: Convert to fraction form
    16,421.28/22,661.55 = 9,347.82/x
  3. Step 3: Cross multiply
    16,421.28x = 22,661.55 × 9,347.82
  4. Step 4: Simplify right side
    16,421.28x = 211,836,090.32
  5. Step 5: Solve for x
    x = 211,836,090.32/16,421.28
  6. Step 6: Final answer
    x = 12,900.10

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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.