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Finding the Fourth Proportional to 16,353.84, 22,567.62 and 9,280.11

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Solution

The fourth proportional to 16,353.84, 22,567.62 and 9,280.11 is: 12,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.84 : 22,567.62 = 9,280.11 : x
  2. Step 2: Convert to fraction form
    16,353.84/22,567.62 = 9,280.11/x
  3. Step 3: Cross multiply
    16,353.84x = 22,567.62 × 9,280.11
  4. Step 4: Simplify right side
    16,353.84x = 209,429,996.04
  5. Step 5: Solve for x
    x = 209,429,996.04/16,353.84
  6. Step 6: Final answer
    x = 12,806.17

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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.