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Finding the Fourth Proportional to 16,223.50, 22,386.39 and 9,507.59

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Solution

The fourth proportional to 16,223.50, 22,386.39 and 9,507.59 is: 13,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.50 : 22,386.39 = 9,507.59 : x
  2. Step 2: Convert to fraction form
    16,223.50/22,386.39 = 9,507.59/x
  3. Step 3: Cross multiply
    16,223.50x = 22,386.39 × 9,507.59
  4. Step 4: Simplify right side
    16,223.50x = 212,840,505.77
  5. Step 5: Solve for x
    x = 212,840,505.77/16,223.50
  6. Step 6: Final answer
    x = 13,119.28

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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.