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Finding the Fourth Proportional to 22,415.80, 33,623.70 and 14,633.40

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Solution

The fourth proportional to 22,415.80, 33,623.70 and 14,633.40 is: 21,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.80 : 33,623.70 = 14,633.40 : x
  2. Step 2: Convert to fraction form
    22,415.80/33,623.70 = 14,633.40/x
  3. Step 3: Cross multiply
    22,415.80x = 33,623.70 × 14,633.40
  4. Step 4: Simplify right side
    22,415.80x = 492,029,051.58
  5. Step 5: Solve for x
    x = 492,029,051.58/22,415.80
  6. Step 6: Final answer
    x = 21,950.10

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Why These Related Problems?

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