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Finding the Fourth Proportional to 16,281.49, 22,468.71 and 9,567.28

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Solution

The fourth proportional to 16,281.49, 22,468.71 and 9,567.28 is: 13,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.49 : 22,468.71 = 9,567.28 : x
  2. Step 2: Convert to fraction form
    16,281.49/22,468.71 = 9,567.28/x
  3. Step 3: Cross multiply
    16,281.49x = 22,468.71 × 9,567.28
  4. Step 4: Simplify right side
    16,281.49x = 214,964,439.81
  5. Step 5: Solve for x
    x = 214,964,439.81/16,281.49
  6. Step 6: Final answer
    x = 13,203.00

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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.