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Finding the Fourth Proportional to 16,206.54, 22,365.30 and 9,133.08

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Solution

The fourth proportional to 16,206.54, 22,365.30 and 9,133.08 is: 12,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.54 : 22,365.30 = 9,133.08 : x
  2. Step 2: Convert to fraction form
    16,206.54/22,365.30 = 9,133.08/x
  3. Step 3: Cross multiply
    16,206.54x = 22,365.30 × 9,133.08
  4. Step 4: Simplify right side
    16,206.54x = 204,264,074.12
  5. Step 5: Solve for x
    x = 204,264,074.12/16,206.54
  6. Step 6: Final answer
    x = 12,603.81

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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.