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Finding the Fourth Proportional to 22,206.80, 33,307.16 and 7,415.40

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Solution

The fourth proportional to 22,206.80, 33,307.16 and 7,415.40 is: 11,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.80 : 33,307.16 = 7,415.40 : x
  2. Step 2: Convert to fraction form
    22,206.80/33,307.16 = 7,415.40/x
  3. Step 3: Cross multiply
    22,206.80x = 33,307.16 × 7,415.40
  4. Step 4: Simplify right side
    22,206.80x = 246,985,914.26
  5. Step 5: Solve for x
    x = 246,985,914.26/22,206.80
  6. Step 6: Final answer
    x = 11,122.08

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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.