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Finding the Fourth Proportional to 22,271.96, 33,411.78 and 7,482.30

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Solution

The fourth proportional to 22,271.96, 33,411.78 and 7,482.30 is: 11,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.96 : 33,411.78 = 7,482.30 : x
  2. Step 2: Convert to fraction form
    22,271.96/33,411.78 = 7,482.30/x
  3. Step 3: Cross multiply
    22,271.96x = 33,411.78 × 7,482.30
  4. Step 4: Simplify right side
    22,271.96x = 249,996,961.49
  5. Step 5: Solve for x
    x = 249,996,961.49/22,271.96
  6. Step 6: Final answer
    x = 11,224.74

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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.