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Finding the Fourth Proportional to 22,305.84, 33,465.69 and 13,430.94

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Solution

The fourth proportional to 22,305.84, 33,465.69 and 13,430.94 is: 20,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.84 : 33,465.69 = 13,430.94 : x
  2. Step 2: Convert to fraction form
    22,305.84/33,465.69 = 13,430.94/x
  3. Step 3: Cross multiply
    22,305.84x = 33,465.69 × 13,430.94
  4. Step 4: Simplify right side
    22,305.84x = 449,475,674.45
  5. Step 5: Solve for x
    x = 449,475,674.45/22,305.84
  6. Step 6: Final answer
    x = 20,150.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.